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3930256080 = 24345606521
BaseRepresentation
bin1110101001000010…
…1111001011010000
3101010220110200210000
43222100233023100
531022121143310
61445555010000
7166252424352
oct35220571320
911126420700
103930256080
111737588623
12918299900
134a834261a
14293d9b0d2
1518009a4c0
hexea42f2d0

3930256080 has 100 divisors (see below), whose sum is σ = 13650384132. Its totient is φ = 1048066560.

The previous prime is 3930256073. The next prime is 3930256093. The reversal of 3930256080 is 806520393.

3930256080 is a `hidden beast` number, since 3 + 93 + 0 + 2 + 560 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 457275456 + 3472980624 = 21384^2 + 58932^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 296781 + ... + 309740.

Almost surely, 23930256080 is an apocalyptic number.

3930256080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3930256080 is an abundant number, since it is smaller than the sum of its proper divisors (9720128052).

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

3930256080 is a wasteful number, since it uses less digits than its factorization.

3930256080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606546 (or 606531 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3930256080 is about 62691.7544817498. The cubic root of 3930256080 is about 1578.1209408673.

The spelling of 3930256080 in words is "three billion, nine hundred thirty million, two hundred fifty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 606521 1213042 1819563 2426084 3032605 3639126 4852168 5458689 6065210 7278252 9097815 9704336 10917378 12130420 14556504 16376067 18195630 21834756 24260840 27293445 29113008 32752134 36391260 43669512 48521680 49128201 54586890 65504268 72782520 81880335 87339024 98256402 109173780 131008536 145565040 163760670 196512804 218347560 245641005 262017072 327521340 393025608 436695120 491282010 655042680 786051216 982564020 1310085360 1965128040 3930256080