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138076367 = 11213611439
BaseRepresentation
bin10000011101011…
…10000011001111
3100121211000011112
420032232003033
5240321420432
621411242235
73264426002
oct1016560317
9317730145
10138076367
1170a38900
123a2a937b
13227b58c0
14144a3539
15c1c67b2
hex83ae0cf

138076367 has 24 divisors (see below), whose sum is σ = 166239360. Its totient is φ = 113889600.

The previous prime is 138076333. The next prime is 138076369. The reversal of 138076367 is 763670831.

138076367 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-138076367 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138076369) 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, 95234 + ... + 96672.

It is an arithmetic number, because the mean of its divisors is an integer number (6926640).

Almost surely, 2138076367 is an apocalyptic number.

138076367 is a deficient number, since it is larger than the sum of its proper divisors (28162993).

138076367 is a wasteful number, since it uses less digits than its factorization.

138076367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 138076367 is about 11750.5900702901. The cubic root of 138076367 is about 516.8602308154.

The spelling of 138076367 in words is "one hundred thirty-eight million, seventy-six thousand, three hundred sixty-seven".

Divisors: 1 11 13 61 121 143 671 793 1439 1573 7381 8723 15829 18707 87779 95953 174119 205777 965569 1141127 2263547 10621259 12552397 138076367