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138649236 = 223113121093
BaseRepresentation
bin10000100001110…
…01111010010100
3100122220002222220
420100321322110
5240443233421
621431422340
73302333115
oct1020717224
9318802886
10138649236
117129a250
123a5249b0
132295658b
14145b220c
15c28b3c6
hex8439e94

138649236 has 72 divisors (see below), whose sum is σ = 365010912. Its totient is φ = 40622400.

The previous prime is 138649211. The next prime is 138649237. The reversal of 138649236 is 632946831.

It is a super-2 number, since 2×1386492362 = 38447221286767392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138649237) 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, 126306 + ... + 127398.

It is an arithmetic number, because the mean of its divisors is an integer number (5069596).

Almost surely, 2138649236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138649236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182505456).

138649236 is an abundant number, since it is smaller than the sum of its proper divisors (226361676).

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

138649236 is a wasteful number, since it uses less digits than its factorization.

138649236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1140 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 138649236 is about 11774.9410189606. The cubic root of 138649236 is about 517.5740499417.

The spelling of 138649236 in words is "one hundred thirty-eight million, six hundred forty-nine thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 961 1023 1093 1364 1922 2046 2186 2883 3279 3844 4092 4372 5766 6558 10571 11532 12023 13116 21142 24046 31713 33883 36069 42284 48092 63426 67766 72138 101649 126852 135532 144276 203298 372713 406596 745426 1050373 1118139 1490852 2100746 2236278 3151119 4201492 4472556 6302238 11554103 12604476 23108206 34662309 46216412 69324618 138649236