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136922240 = 2757132351
BaseRepresentation
bin10000010100101…
…00010010000000
3100112122101000002
420022110102000
5240023002430
621330415132
73251551130
oct1012242200
9315571002
10136922240
117031a784
1239a314a8
13224a04a0
1414282ac0
15c049845
hex8294480

136922240 has 128 divisors (see below), whose sum is σ = 403038720. Its totient is φ = 43315200.

The previous prime is 136922239. The next prime is 136922249. The reversal of 136922240 is 42229631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (136922249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57065 + ... + 59415.

It is an arithmetic number, because the mean of its divisors is an integer number (3148740).

Almost surely, 2136922240 is an apocalyptic number.

136922240 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 136922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201519360).

136922240 is an abundant number, since it is smaller than the sum of its proper divisors (266116480).

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

136922240 is a wasteful number, since it uses less digits than its factorization.

136922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 136922240 is about 11701.3776966646. The cubic root of 136922240 is about 515.4161214068.

The spelling of 136922240 in words is "one hundred thirty-six million, nine hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 640 728 832 896 910 1040 1120 1456 1664 1820 2080 2240 2351 2912 3640 4160 4480 4702 5824 7280 8320 9404 11648 11755 14560 16457 18808 23510 29120 30563 32914 37616 47020 58240 61126 65828 75232 82285 94040 122252 131656 150464 152815 164570 188080 213941 244504 263312 300928 305630 329140 376160 427882 489008 526624 611260 658280 752320 855764 978016 1053248 1069705 1222520 1316560 1504640 1711528 1956032 2106496 2139410 2445040 2633120 3423056 3912064 4278820 4890080 5266240 6846112 8557640 9780160 10532480 13692224 17115280 19560320 27384448 34230560 68461120 136922240