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3900026640 = 243519855269
BaseRepresentation
bin1110100001110101…
…1010111100010000
3101001210120212210010
43220131122330100
530441401323030
61442555034520
7165434452026
oct35035327420
911053525703
103900026640
111721510814
1290a13ba40
134a1cba093
1428dd6c716
1517c5c86b0
hexe875af10

3900026640 has 80 divisors (see below), whose sum is σ = 12726417600. Its totient is φ = 985268736.

The previous prime is 3900026597. The next prime is 3900026653. The reversal of 3900026640 is 466200093.

3900026640 is digitally balanced in base 2 and base 4, because in such bases 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3900026598 and 3900026607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423075 + ... + 432194.

It is an arithmetic number, because the mean of its divisors is an integer number (159080220).

Almost surely, 23900026640 is an apocalyptic number.

3900026640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3900026640 is an abundant number, since it is smaller than the sum of its proper divisors (8826390960).

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

3900026640 is a wasteful number, since it uses less digits than its factorization.

3900026640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855304 (or 855298 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3900026640 is about 62450.1932743206. The cubic root of 3900026640 is about 1574.0645006389.

The spelling of 3900026640 in words is "three billion, nine hundred million, twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 855269 1710538 2565807 3421076 4276345 5131614 6842152 8552690 10263228 12829035 13684304 16250111 17105380 20526456 25658070 32500222 34210760 41052912 48750333 51316140 65000444 68421520 81250555 97500666 102632280 130000888 162501110 195001332 205264560 243751665 260001776 325002220 390002664 487503330 650004440 780005328 975006660 1300008880 1950013320 3900026640