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136979424 = 2534431229
BaseRepresentation
bin10000010101000…
…10001111100000
3100112202021110000
420022202033200
5240031320144
621331540000
73252206631
oct1012421740
9315667400
10136979424
117035973a
1239a5a600
13224c051a
1414299888
15c05b769
hex82a23e0

136979424 has 120 divisors (see below), whose sum is σ = 412556760. Its totient is φ = 44561664.

The previous prime is 136979411. The next prime is 136979429. The reversal of 136979424 is 424979631.

It is a happy number.

136979424 is a `hidden beast` number, since 136 + 97 + 9 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 136979424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136979429) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110842 + ... + 112070.

It is an arithmetic number, because the mean of its divisors is an integer number (3437973).

Almost surely, 2136979424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136979424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206278380).

136979424 is an abundant number, since it is smaller than the sum of its proper divisors (275577336).

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

136979424 is a wasteful number, since it uses less digits than its factorization.

136979424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1277 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 136979424 is about 11703.8209145561. The cubic root of 136979424 is about 515.4878639602.

The spelling of 136979424 in words is "one hundred thirty-six million, nine hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 81 86 96 108 129 144 162 172 216 258 288 324 344 387 432 516 648 688 774 864 1032 1161 1229 1296 1376 1548 2064 2322 2458 2592 3096 3483 3687 4128 4644 4916 6192 6966 7374 9288 9832 11061 12384 13932 14748 18576 19664 22122 27864 29496 33183 37152 39328 44244 52847 55728 58992 66366 88488 99549 105694 111456 117984 132732 158541 176976 199098 211388 265464 317082 353952 398196 422776 475623 530928 634164 796392 845552 951246 1061856 1268328 1426869 1592784 1691104 1902492 2536656 2853738 3185568 3804984 4280607 5073312 5707476 7609968 8561214 11414952 15219936 17122428 22829904 34244856 45659808 68489712 136979424