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1940620680 = 233453071951
BaseRepresentation
bin111001110101011…
…1000010110001000
312000020121202010000
41303222320112020
512433244330210
6520322123000
766043001145
oct16352702610
95006552100
101940620680
11906480049
12461ab0460
1324c086a7b
14145a3d3cc
15b5583ac0
hex73ab8588

1940620680 has 160 divisors (see below), whose sum is σ = 6547242240. Its totient is φ = 515548800.

The previous prime is 1940620679. The next prime is 1940620681. The reversal of 1940620680 is 860260491.

It is an interprime number because it is at equal distance from previous prime (1940620679) and next prime (1940620681).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1940620681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 993705 + ... + 995655.

It is an arithmetic number, because the mean of its divisors is an integer number (40920264).

Almost surely, 21940620680 is an apocalyptic number.

1940620680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940620680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273621120).

1940620680 is an abundant number, since it is smaller than the sum of its proper divisors (4606621560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1940620680 is a wasteful number, since it uses less digits than its factorization.

1940620680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1940620680 is about 44052.4764343618. The cubic root of 1940620680 is about 1247.3266985766.

The spelling of 1940620680 in words is "one billion, nine hundred forty million, six hundred twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 307 324 360 405 540 614 648 810 921 1080 1228 1535 1620 1842 1951 2456 2763 3070 3240 3684 3902 4605 5526 5853 6140 7368 7804 8289 9210 9755 11052 11706 12280 13815 15608 16578 17559 18420 19510 22104 23412 24867 27630 29265 33156 35118 36840 39020 41445 46824 49734 52677 55260 58530 66312 70236 78040 82890 87795 99468 105354 110520 117060 124335 140472 158031 165780 175590 198936 210708 234120 248670 263385 316062 331560 351180 421416 497340 526770 598957 632124 702360 790155 994680 1053540 1197914 1264248 1580310 1796871 2107080 2395828 2994785 3160620 3593742 4791656 5390613 5989570 6321240 7187484 8984355 10781226 11979140 14374968 16171839 17968710 21562452 23958280 26953065 32343678 35937420 43124904 48515517 53906130 64687356 71874840 80859195 97031034 107812260 129374712 161718390 194062068 215624520 242577585 323436780 388124136 485155170 646873560 970310340 1940620680