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138376340 = 22531122247
BaseRepresentation
bin10000011111101…
…11010010010100
3100122101020122122
420033313102110
5240411020330
621421515112
73300115364
oct1017672224
9318336578
10138376340
1171123213
123a412a98
132288c2bb
14145409a4
15c2355e5
hex83f7494

138376340 has 24 divisors (see below), whose sum is σ = 291537792. Its totient is φ = 55170080.

The previous prime is 138376333. The next prime is 138376351. The reversal of 138376340 is 43673831.

It is a happy number.

138376340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1383763402 = 38296022943591200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138376340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4904 + ... + 17343.

It is an arithmetic number, because the mean of its divisors is an integer number (12147408).

Almost surely, 2138376340 is an apocalyptic number.

138376340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138376340 is an abundant number, since it is smaller than the sum of its proper divisors (153161452).

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

138376340 is a wasteful number, since it uses less digits than its factorization.

138376340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22567 (or 22565 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 138376340 is about 11763.3473127337. The cubic root of 138376340 is about 517.2342556495.

The spelling of 138376340 in words is "one hundred thirty-eight million, three hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 311 622 1244 1555 3110 6220 22247 44494 88988 111235 222470 444940 6918817 13837634 27675268 34594085 69188170 138376340