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136900416 = 26323291069
BaseRepresentation
bin10000010100011…
…10111101000000
3100112121021001210
420022032331000
5240021303131
621330130120
73251430402
oct1012167500
9315537053
10136900416
1170305344
1239a20940
1322493583
1414278b72
15c043146
hex828ef40

136900416 has 112 divisors (see below), whose sum is σ = 391363200. Its totient is φ = 42104832.

The previous prime is 136900397. The next prime is 136900427. The reversal of 136900416 is 614009631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127530 + ... + 128598.

Almost surely, 2136900416 is an apocalyptic number.

136900416 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 136900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195681600).

136900416 is an abundant number, since it is smaller than the sum of its proper divisors (254462784).

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

136900416 is a wasteful number, since it uses less digits than its factorization.

136900416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 136900416 is about 11700.4451197380. The cubic root of 136900416 is about 515.3887359382.

The spelling of 136900416 in words is "one hundred thirty-six million, nine hundred thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 138 174 184 192 232 276 348 368 464 552 667 696 736 928 1069 1104 1334 1392 1472 1856 2001 2138 2208 2668 2784 3207 4002 4276 4416 5336 5568 6414 8004 8552 10672 12828 16008 17104 21344 24587 25656 31001 32016 34208 42688 49174 51312 62002 64032 68416 73761 93003 98348 102624 124004 128064 147522 186006 196696 205248 248008 295044 372012 393392 496016 590088 713023 744024 786784 992032 1180176 1426046 1488048 1573568 1984064 2139069 2360352 2852092 2976096 4278138 4720704 5704184 5952192 8556276 11408368 17112552 22816736 34225104 45633472 68450208 136900416