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1365640656 = 243191818273
BaseRepresentation
bin101000101100110…
…0000010111010000
310112011200201210120
41101121200113100
510244101000111
6343302230240
745561516432
oct12131402720
93464621716
101365640656
11640961046
12321425380
13189c0b4c3
14cd52a652
157ed59406
hex516605d0

1365640656 has 80 divisors (see below), whose sum is σ = 3734552640. Its totient is φ = 428820480.

The previous prime is 1365640649. The next prime is 1365640693. The reversal of 1365640656 is 6560465631.

It is a super-2 number, since 2×13656406562 = 3729948802640220672, which contains 22 as substring.

It is a congruent number.

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, 160936 + ... + 169208.

It is an arithmetic number, because the mean of its divisors is an integer number (46681908).

Almost surely, 21365640656 is an apocalyptic number.

1365640656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1365640656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867276320).

1365640656 is an abundant number, since it is smaller than the sum of its proper divisors (2368911984).

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

1365640656 is a wasteful number, since it uses less digits than its factorization.

1365640656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8484 (or 8478 counting only the distinct ones).

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

The square root of 1365640656 is about 36954.5755759689. The cubic root of 1365640656 is about 1109.4612692930.

The spelling of 1365640656 in words is "one billion, three hundred sixty-five million, six hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 181 228 304 362 456 543 724 912 1086 1448 2172 2896 3439 4344 6878 8273 8688 10317 13756 16546 20634 24819 27512 33092 41268 49638 55024 66184 82536 99276 132368 157187 165072 198552 314374 397104 471561 628748 943122 1257496 1497413 1886244 2514992 2994826 3772488 4492239 5989652 7544976 8984478 11979304 17968956 23958608 28450847 35937912 56901694 71875824 85352541 113803388 170705082 227606776 341410164 455213552 682820328 1365640656