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136924704 = 25327232953
BaseRepresentation
bin10000010100101…
…00111000100000
3100112122111101100
420022110320200
5240023042304
621330434400
73251561250
oct1012247040
9315574340
10136924704
1170321614
1239a32a00
13224a1647
1414283960
15c04a439
hex8294e20

136924704 has 144 divisors (see below), whose sum is σ = 464510592. Its totient is φ = 37407744.

The previous prime is 136924703. The next prime is 136924709. The reversal of 136924704 is 407429631.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136924703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44892 + ... + 47844.

It is an arithmetic number, because the mean of its divisors is an integer number (3225768).

Almost surely, 2136924704 is an apocalyptic number.

136924704 is a gapful number since it is divisible by the number (14) 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 136924704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232255296).

136924704 is an abundant number, since it is smaller than the sum of its proper divisors (327585888).

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

136924704 is a wasteful number, since it uses less digits than its factorization.

136924704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 136924704 is about 11701.4829829385. The cubic root of 136924704 is about 515.4192131317.

The spelling of 136924704 in words is "one hundred thirty-six million, nine hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 2953 3312 3864 5152 5796 5906 6624 7728 8859 11592 11812 15456 17718 20671 23184 23624 26577 35436 41342 46368 47248 53154 62013 67919 70872 82684 94496 106308 124026 135838 141744 165368 186039 203757 212616 248052 271676 283488 330736 372078 407514 425232 475433 496104 543352 611271 661472 744156 815028 850464 950866 992208 1086704 1222542 1426299 1488312 1630056 1901732 1984416 2173408 2445084 2852598 2976624 3260112 3803464 4278897 4890168 5705196 5953248 6520224 7606928 8557794 9780336 11410392 15213856 17115588 19560672 22820784 34231176 45641568 68462352 136924704