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2154700680 = 2335118918341
BaseRepresentation
bin1000000001101110…
…0001111110001000
312120011110010122220
42000123201332020
513403100410210
6553450414040
7104252440116
oct20033417610
95504403586
102154700680
11a062aa570
12501731320
13284530a22
14166248ab6
15c926ec70
hex806e1f88

2154700680 has 128 divisors (see below), whose sum is σ = 7131369600. Its totient is φ = 516454400.

The previous prime is 2154700679. The next prime is 2154700703. The reversal of 2154700680 is 860074512.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108310 + ... + 126650.

It is an arithmetic number, because the mean of its divisors is an integer number (55713825).

Almost surely, 22154700680 is an apocalyptic number.

2154700680 is a gapful number since it is divisible by the number (20) 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 2154700680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565684800).

2154700680 is an abundant number, since it is smaller than the sum of its proper divisors (4976668920).

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

2154700680 is a wasteful number, since it uses less digits than its factorization.

2154700680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18455 (or 18451 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2154700680 is about 46418.7535377675. The cubic root of 2154700680 is about 1291.6028150932.

The spelling of 2154700680 in words is "two billion, one hundred fifty-four million, seven hundred thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 89 110 120 132 165 178 220 264 267 330 356 440 445 534 660 712 890 979 1068 1320 1335 1780 1958 2136 2670 2937 3560 3916 4895 5340 5874 7832 9790 10680 11748 14685 18341 19580 23496 29370 36682 39160 55023 58740 73364 91705 110046 117480 146728 183410 201751 220092 275115 366820 403502 440184 550230 605253 733640 807004 1008755 1100460 1210506 1614008 1632349 2017510 2200920 2421012 3026265 3264698 4035020 4842024 4897047 6052530 6529396 8070040 8161745 9794094 12105060 13058792 16323490 17955839 19588188 24210120 24485235 32646980 35911678 39176376 48970470 53867517 65293960 71823356 89779195 97940940 107735034 143646712 179558390 195881880 215470068 269337585 359116780 430940136 538675170 718233560 1077350340 2154700680