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1940666960 = 2451731191241
BaseRepresentation
bin111001110101100…
…0011101001010000
312000020201002121002
41303223003221100
512433302320320
6520323121132
766043253111
oct16353035120
95006632532
101940666960
119065018a1
12461b131a8
1324c0a1b5b
14145a52208
15b5592675
hex73ac3a50

1940666960 has 160 divisors (see below), whose sum is σ = 4977967104. Its totient is φ = 700416000.

The previous prime is 1940666951. The next prime is 1940666969. The reversal of 1940666960 is 696660491.

It is an interprime number because it is at equal distance from previous prime (1940666951) and next prime (1940666969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1940666969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8052440 + ... + 8052680.

Almost surely, 21940666960 is an apocalyptic number.

1940666960 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 1940666960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488983552).

1940666960 is an abundant number, since it is smaller than the sum of its proper divisors (3037300144).

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

1940666960 is a wasteful number, since it uses less digits than its factorization.

1940666960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 47.

The square root of 1940666960 is about 44053.0017138447. The cubic root of 1940666960 is about 1247.3366139302.

The spelling of 1940666960 in words is "one billion, nine hundred forty million, six hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 191 241 248 272 310 340 382 482 496 527 620 680 764 955 964 1054 1205 1240 1360 1528 1910 1928 2108 2410 2480 2635 3056 3247 3820 3856 4097 4216 4820 5270 5921 6494 7471 7640 8194 8432 9640 10540 11842 12988 14942 15280 16235 16388 19280 20485 21080 23684 25976 29605 29884 32470 32776 37355 40970 42160 46031 47368 51952 59210 59768 64940 65552 74710 81940 92062 94736 100657 118420 119536 127007 129880 149420 163880 184124 201314 230155 236840 254014 259760 298840 327760 368248 402628 460310 473680 503285 508028 597680 635035 736496 782527 805256 920620 1006570 1016056 1270070 1426961 1565054 1610512 1841240 2013140 2032112 2540140 2853922 3130108 3682480 3912635 4026280 5080280 5707844 6260216 7134805 7825270 8052560 10160560 11415688 12520432 14269610 15650540 22831376 24258337 28539220 31301080 48516674 57078440 62602160 97033348 114156880 121291685 194066696 242583370 388133392 485166740 970333480 1940666960