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3656540940 = 2235134687873
BaseRepresentation
bin1101100111110010…
…0110001100001100
3100102211102112012020
43121330212030030
524442033302230
61402500210140
7156420041133
oct33174461414
910384375166
103656540940
111607027368
12860699950
134637187c0
142698aa91a
1516602e810
hexd9f2630c

3656540940 has 48 divisors (see below), whose sum is σ = 11025879648. Its totient is φ = 900071424.

The previous prime is 3656540939. The next prime is 3656540957. The reversal of 3656540940 is 490456563.

3656540940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3656540892 and 3656540901.

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, 2343157 + ... + 2344716.

It is an arithmetic number, because the mean of its divisors is an integer number (229705826).

Almost surely, 23656540940 is an apocalyptic number.

3656540940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3656540940 is an abundant number, since it is smaller than the sum of its proper divisors (7369338708).

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

3656540940 is a wasteful number, since it uses less digits than its factorization.

3656540940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4687898 (or 4687896 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 3656540940 is about 60469.3388420942. The cubic root of 3656540940 is about 1540.6008983526.

The spelling of 3656540940 in words is "three billion, six hundred fifty-six million, five hundred forty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 4687873 9375746 14063619 18751492 23439365 28127238 46878730 56254476 60942349 70318095 93757460 121884698 140636190 182827047 243769396 281272380 304711745 365654094 609423490 731308188 914135235 1218846980 1828270470 3656540940