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138614376 = 233231511663
BaseRepresentation
bin10000100001100…
…01011001101000
3100122211100011210
420100301121220
5240441130001
621430553120
73302126355
oct1020613150
9318740153
10138614376
117127603a
123a5087a0
1322943754
14145a362c
15c280dd6
hex8431668

138614376 has 64 divisors (see below), whose sum is σ = 364216320. Its totient is φ = 43876800.

The previous prime is 138614369. The next prime is 138614383. The reversal of 138614376 is 673416831.

It is an interprime number because it is at equal distance from previous prime (138614369) and next prime (138614383).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82521 + ... + 84183.

It is an arithmetic number, because the mean of its divisors is an integer number (5690880).

Almost surely, 2138614376 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 138614376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182108160).

138614376 is an abundant number, since it is smaller than the sum of its proper divisors (225601944).

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

138614376 is a wasteful number, since it uses less digits than its factorization.

138614376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1842 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 138614376 is about 11773.4606637131. The cubic root of 138614376 is about 517.5306691432.

The spelling of 138614376 in words is "one hundred thirty-eight million, six hundred fourteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 151 184 276 302 453 552 604 906 1208 1663 1812 3326 3473 3624 4989 6652 6946 9978 10419 13304 13892 19956 20838 27784 38249 39912 41676 76498 83352 114747 152996 229494 251113 305992 458988 502226 753339 917976 1004452 1506678 2008904 3013356 5775599 6026712 11551198 17326797 23102396 34653594 46204792 69307188 138614376