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3940051680 = 25335912049
BaseRepresentation
bin1110101011011000…
…0110101011100000
3101011120220100211000
43222312012223200
531032123123210
61450544552000
7166431613065
oct35266065340
911146810730
103940051680
111742069164
1291b622600
134aa392136
142953cac6c
15180d82ac0
hexead86ae0

3940051680 has 96 divisors (see below), whose sum is σ = 13790196000. Its totient is φ = 1050679296.

The previous prime is 3940051673. The next prime is 3940051681. The reversal of 3940051680 is 861500493.

3940051680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940051681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451705 + ... + 460344.

It is an arithmetic number, because the mean of its divisors is an integer number (143647875).

Almost surely, 23940051680 is an apocalyptic number.

3940051680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3940051680 is an abundant number, since it is smaller than the sum of its proper divisors (9850144320).

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

3940051680 is a wasteful number, since it uses less digits than its factorization.

3940051680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912073 (or 912059 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3940051680 is about 62769.8309699811. The cubic root of 3940051680 is about 1579.4309332368.

The spelling of 3940051680 in words is "three billion, nine hundred forty million, fifty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 912049 1824098 2736147 3648196 4560245 5472294 7296392 8208441 9120490 10944588 13680735 14592784 16416882 18240980 21889176 24625323 27361470 29185568 32833764 36481960 41042205 43778352 49250646 54722940 65667528 72963920 82084410 87556704 98501292 109445880 123126615 131335056 145927840 164168820 197002584 218891760 246253230 262670112 328337640 394005168 437783520 492506460 656675280 788010336 985012920 1313350560 1970025840 3940051680