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2680155960 = 2335192351109
BaseRepresentation
bin1001111110111111…
…1110111100111000
320220210012000210120
42133233332330320
520442104442320
61121541013240
7123262643526
oct23757767470
96823160716
102680155960
111155972929
126296b4220
13339359301
141b5d49316
1510a465440
hex9fbfef38

2680155960 has 128 divisors (see below), whose sum is σ = 8831808000. Its totient is φ = 647640576.

The previous prime is 2680155953. The next prime is 2680155967. The reversal of 2680155960 is 695510862.

It is an interprime number because it is at equal distance from previous prime (2680155953) and next prime (2680155967).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680155967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26886 + ... + 77994.

It is an arithmetic number, because the mean of its divisors is an integer number (68998500).

Almost surely, 22680155960 is an apocalyptic number.

2680155960 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 2680155960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415904000).

2680155960 is an abundant number, since it is smaller than the sum of its proper divisors (6151652040).

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

2680155960 is a wasteful number, since it uses less digits than its factorization.

2680155960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51165 (or 51161 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 2680155960 is about 51770.2227153795. Note that the first 3 decimals coincide. The cubic root of 2680155960 is about 1389.0568554999.

The spelling of 2680155960 in words is "two billion, six hundred eighty million, one hundred fifty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 114 115 120 138 152 184 190 228 230 276 285 345 380 437 456 460 552 570 690 760 874 920 1140 1311 1380 1748 2185 2280 2622 2760 3496 4370 5244 6555 8740 10488 13110 17480 26220 51109 52440 102218 153327 204436 255545 306654 408872 511090 613308 766635 971071 1022180 1175507 1226616 1533270 1942142 2044360 2351014 2913213 3066540 3526521 3884284 4702028 4855355 5826426 5877535 6133080 7053042 7768568 9404056 9710710 11652852 11755070 14106084 14566065 17632605 19421420 22334633 23305704 23510140 28212168 29132130 35265210 38842840 44669266 47020280 58264260 67003899 70530420 89338532 111673165 116528520 134007798 141060840 178677064 223346330 268015596 335019495 446692660 536031192 670038990 893385320 1340077980 2680155960