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13640760320 = 210511242201
BaseRepresentation
bin11001011010000110…
…10111110000000000
31022012122111102101012
430231003113300000
5210414013312240
610133320500052
7662013356345
oct145503276000
938178442335
1013640760320
11586a943140
12278831a628
13139506c215
149358c27cc
1554c821b65
hex32d0d7c00

13640760320 has 88 divisors (see below), whose sum is σ = 35696699568. Its totient is φ = 4960256000.

The previous prime is 13640760253. The next prime is 13640760347. The reversal of 13640760320 is 2306704631.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64781 + ... + 177420.

Almost surely, 213640760320 is an apocalyptic number.

13640760320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13640760320 is an abundant number, since it is smaller than the sum of its proper divisors (22055939248).

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

13640760320 is a wasteful number, since it uses less digits than its factorization.

13640760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242237 (or 242219 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 13640760320 in words is "thirteen billion, six hundred forty million, seven hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2816 3520 5120 5632 7040 11264 14080 28160 56320 242201 484402 968804 1211005 1937608 2422010 2664211 3875216 4844020 5328422 7750432 9688040 10656844 13321055 15500864 19376080 21313688 26642110 31001728 38752160 42627376 53284220 62003456 77504320 85254752 106568440 124006912 155008640 170509504 213136880 248013824 310017280 341019008 426273760 620034560 682038016 852547520 1240069120 1364076032 1705095040 2728152064 3410190080 6820380160 13640760320