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136048896 = 28312
BaseRepresentation
bin10000001101111…
…11000100000000
3100111000000000000
420012333010000
5234312031041
621300000000
73241253004
oct1006770400
9314000000
10136048896
116a883605
1239690000
1322255b09
14140d6704
15be25bb6
hex81bf100

136048896 has 117 divisors (see below), whose sum is σ = 407349271. Its totient is φ = 45349632.

The previous prime is 136048817. The next prime is 136048901. The reversal of 136048896 is 698840631.

The square root of 136048896 is 11664.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 45349631 + 45349632 + 45349633.

Almost surely, 2136048896 is an apocalyptic number.

136048896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

136048896 is the 11664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136048896

136048896 is an abundant number, since it is smaller than the sum of its proper divisors (271300375).

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

136048896 is an frugal number, since it uses more digits than its factorization.

136048896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The cubic root of 136048896 is about 514.3179408377.

It can be divided in two parts, 13604 and 8896, that added together give a square (22500 = 1502).

The spelling of 136048896 in words is "one hundred thirty-six million, forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2187 2304 2592 2916 3456 3888 4374 5184 5832 6561 6912 7776 8748 10368 11664 13122 15552 17496 19683 20736 23328 26244 31104 34992 39366 46656 52488 59049 62208 69984 78732 93312 104976 118098 139968 157464 177147 186624 209952 236196 279936 314928 354294 419904 472392 531441 559872 629856 708588 839808 944784 1062882 1259712 1417176 1679616 1889568 2125764 2519424 2834352 3779136 4251528 5038848 5668704 7558272 8503056 11337408 15116544 17006112 22674816 34012224 45349632 68024448 136048896