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136642560 = 21635139
BaseRepresentation
bin10000010010100…
…00000000000000
3100112010011100120
420021100000000
5234440030220
621320420240
73246304545
oct1011200000
9315104316
10136642560
117014963a
1239917680
13224030b2
141420cbcc
15bee1a40
hex8250000

136642560 has 136 divisors (see below), whose sum is σ = 440398560. Its totient is φ = 36175872.

The previous prime is 136642559. The next prime is 136642579. The reversal of 136642560 is 65246631.

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, 982971 + ... + 983109.

Almost surely, 2136642560 is an apocalyptic number.

136642560 is a gapful number since it is divisible by the number (10) 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 136642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220199280).

136642560 is an abundant number, since it is smaller than the sum of its proper divisors (303756000).

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

136642560 is an frugal number, since it uses more digits than its factorization.

136642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 136642560 is about 11689.4208581948. The cubic root of 136642560 is about 515.0649492347.

The spelling of 136642560 in words is "one hundred thirty-six million, six hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 139 160 192 240 256 278 320 384 417 480 512 556 640 695 768 834 960 1024 1112 1280 1390 1536 1668 1920 2048 2085 2224 2560 2780 3072 3336 3840 4096 4170 4448 5120 5560 6144 6672 7680 8192 8340 8896 10240 11120 12288 13344 15360 16384 16680 17792 20480 22240 24576 26688 30720 32768 33360 35584 40960 44480 49152 53376 61440 65536 66720 71168 81920 88960 98304 106752 122880 133440 142336 163840 177920 196608 213504 245760 266880 284672 327680 355840 427008 491520 533760 569344 711680 854016 983040 1067520 1138688 1423360 1708032 2135040 2277376 2846720 3416064 4270080 4554752 5693440 6832128 8540160 9109504 11386880 13664256 17080320 22773760 27328512 34160640 45547520 68321280 136642560