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136956096 = 263429911
BaseRepresentation
bin10000010100111…
…00100011000000
3100112201002110000
420022130203000
5240030043341
621331240000
73252051624
oct1012344300
9315632400
10136956096
1170343162
1239a49000
13224b2a14
1414291184
15c0548b6
hex829c8c0

136956096 has 140 divisors (see below), whose sum is σ = 420441120. Its totient is φ = 44029440.

The previous prime is 136956049. The next prime is 136956133. The reversal of 136956096 is 690659631.

136956096 is a `hidden beast` number, since 1 + 36 + 9 + 5 + 609 + 6 = 666.

It is a super-2 number, since 2×1369560962 = 37513944463122432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 149881 + ... + 150791.

Almost surely, 2136956096 is an apocalyptic number.

136956096 is a gapful number since it is divisible by the number (16) 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 136956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210220560).

136956096 is an abundant number, since it is smaller than the sum of its proper divisors (283485024).

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

136956096 is an equidigital number, since it uses as much as digits as its factorization.

136956096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 136956096 is about 11702.8242745074. The cubic root of 136956096 is about 515.4585992642.

It can be divided in two parts, 13695 and 6096, that added together give a palindrome (19791).

The spelling of 136956096 in words is "one hundred thirty-six million, nine hundred fifty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 144 162 174 192 216 232 261 288 324 348 432 464 522 576 648 696 783 864 911 928 1044 1296 1392 1566 1728 1822 1856 2088 2349 2592 2733 2784 3132 3644 4176 4698 5184 5466 5568 6264 7288 8199 8352 9396 10932 12528 14576 16398 16704 18792 21864 24597 25056 26419 29152 32796 37584 43728 49194 50112 52838 58304 65592 73791 75168 79257 87456 98388 105676 131184 147582 150336 158514 174912 196776 211352 237771 262368 295164 317028 393552 422704 475542 524736 590328 634056 713313 787104 845408 951084 1180656 1268112 1426626 1574208 1690816 1902168 2139939 2361312 2536224 2853252 3804336 4279878 4722624 5072448 5706504 7608672 8559756 11413008 15217344 17119512 22826016 34239024 45652032 68478048 136956096