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3640514540 = 2251318177359
BaseRepresentation
bin1101100011111101…
…1101011111101100
3100101201021022002212
43120333131133230
524423432431130
61401124505552
7156133602005
oct33077353754
910351238085
103640514540
1115a8a80503
1285724b2b8
134602c6c20
142676d81ac
15164915e95
hexd8fdd7ec

3640514540 has 48 divisors (see below), whose sum is σ = 8278757760. Its totient is φ = 1336746240.

The previous prime is 3640514539. The next prime is 3640514561. The reversal of 3640514540 is 454150463.

It is a super-2 number, since 2×36405145402 = 26506692231902823200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3640514497 and 3640514506.

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, 8381 + ... + 85739.

It is an arithmetic number, because the mean of its divisors is an integer number (172474120).

Almost surely, 23640514540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640514540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139378880).

3640514540 is an abundant number, since it is smaller than the sum of its proper divisors (4638243220).

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

3640514540 is a wasteful number, since it uses less digits than its factorization.

3640514540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77562 (or 77560 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 3640514540 is about 60336.6765740375. The cubic root of 3640514540 is about 1538.3468148029.

The spelling of 3640514540 in words is "three billion, six hundred forty million, five hundred fourteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 181 260 362 724 905 1810 2353 3620 4706 9412 11765 23530 47060 77359 154718 309436 386795 773590 1005667 1547180 2011334 4022668 5028335 10056670 14001979 20113340 28003958 56007916 70009895 140019790 182025727 280039580 364051454 728102908 910128635 1820257270 3640514540