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2156297640 = 2335711322717
BaseRepresentation
bin1000000010000110…
…0111110110101000
312120021110021021120
42000201213312220
513404003011030
6553544535240
7104302141020
oct20041476650
95507407246
102156297640
11a071a0372
12502181520
1328496c883
14166542a80
15c9488010
hex80867da8

2156297640 has 128 divisors (see below), whose sum is σ = 7458773760. Its totient is φ = 488484864.

The previous prime is 2156297573. The next prime is 2156297657. The reversal of 2156297640 is 467926512.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2156297592 and 2156297601.

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, 83562 + ... + 106278.

It is an arithmetic number, because the mean of its divisors is an integer number (58271670).

Almost surely, 22156297640 is an apocalyptic number.

2156297640 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 2156297640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729386880).

2156297640 is an abundant number, since it is smaller than the sum of its proper divisors (5302476120).

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

2156297640 is a wasteful number, since it uses less digits than its factorization.

2156297640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22851 (or 22847 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2156297640 is about 46435.9520199597. The cubic root of 2156297640 is about 1291.9218274869.

The spelling of 2156297640 in words is "two billion, one hundred fifty-six million, two hundred ninety-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 113 120 140 168 210 226 280 339 420 452 565 678 791 840 904 1130 1356 1582 1695 2260 2373 2712 3164 3390 3955 4520 4746 6328 6780 7910 9492 11865 13560 15820 18984 22717 23730 31640 45434 47460 68151 90868 94920 113585 136302 159019 181736 227170 272604 318038 340755 454340 477057 545208 636076 681510 795095 908680 954114 1272152 1363020 1590190 1908228 2385285 2567021 2726040 3180380 3816456 4770570 5134042 6360760 7701063 9541140 10268084 12835105 15402126 17969147 19082280 20536168 25670210 30804252 35938294 38505315 51340420 53907441 61608504 71876588 77010630 89845735 102680840 107814882 143753176 154021260 179691470 215629764 269537205 308042520 359382940 431259528 539074410 718765880 1078148820 2156297640