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136400640 = 283535521
BaseRepresentation
bin10000010000101…
…00111100000000
3100111122212111120
420020110330000
5234404310030
621311312240
73244246335
oct1010247400
9314585446
10136400640
116aaa3902
123981b680
1322349c4c
141418898c
15be95010
hex8214f00

136400640 has 72 divisors (see below), whose sum is σ = 435641808. Its totient is φ = 36372480.

The previous prime is 136400609. The next prime is 136400653. The reversal of 136400640 is 46004631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 136400640.

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, 13921 + ... + 21600.

Almost surely, 2136400640 is an apocalyptic number.

136400640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136400640 is an abundant number, since it is smaller than the sum of its proper divisors (299241168).

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

136400640 is an equidigital number, since it uses as much as digits as its factorization.

136400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35545 (or 35531 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 136400640 is about 11679.0684560028. The cubic root of 136400640 is about 514.7608026090.

The spelling of 136400640 in words is "one hundred thirty-six million, four hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 35521 71042 106563 142084 177605 213126 284168 355210 426252 532815 568336 710420 852504 1065630 1136672 1420840 1705008 2131260 2273344 2841680 3410016 4262520 4546688 5683360 6820032 8525040 9093376 11366720 13640064 17050080 22733440 27280128 34100160 45466880 68200320 136400640