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136795392 = 2836733
BaseRepresentation
bin10000010011101…
…01010100000000
3100112101221000000
420021311110000
5240004423032
621324000000
73250512246
oct1011652400
9315357000
10136795392
1170243448
1239990000
1322457826
141424c796
15c021e7c
hex8275500

136795392 has 126 divisors (see below), whose sum is σ = 409955882. Its totient is φ = 45536256.

The previous prime is 136795387. The next prime is 136795409. The reversal of 136795392 is 293597631.

It can be written as a sum of positive squares in only one way, i.e., 136048896 + 746496 = 11664^2 + 864^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186258 + ... + 186990.

Almost surely, 2136795392 is an apocalyptic number.

136795392 is a gapful number since it is divisible by the number (12) 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 136795392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204977941).

136795392 is an abundant number, since it is smaller than the sum of its proper divisors (273160490).

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

136795392 is an frugal number, since it uses more digits than its factorization.

136795392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 738 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 136795392 is about 11695.9562242683. The cubic root of 136795392 is about 515.2569076704.

The spelling of 136795392 in words is "one hundred thirty-six million, seven hundred ninety-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 733 768 864 972 1152 1296 1458 1466 1728 1944 2199 2304 2592 2916 2932 3456 3888 4398 5184 5832 5864 6597 6912 7776 8796 10368 11664 11728 13194 15552 17592 19791 20736 23328 23456 26388 31104 35184 39582 46656 46912 52776 59373 62208 70368 79164 93312 93824 105552 118746 140736 158328 178119 186624 187648 211104 237492 281472 316656 356238 422208 474984 534357 562944 633312 712476 844416 949968 1068714 1266624 1424952 1688832 1899936 2137428 2533248 2849904 3799872 4274856 5066496 5699808 7599744 8549712 11399616 15199488 17099424 22799232 34198848 45598464 68397696 136795392