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138410976 = 25311131071
BaseRepresentation
bin10000011111111…
…11101111100000
3100122110000011110
420033333233200
5240413122401
621422343320
73300321354
oct1017775740
9318400143
10138410976
1171147240
123a42ab40
13228a1cb2
141454d464
15c2409d6
hex83ffbe0

138410976 has 48 divisors (see below), whose sum is σ = 396361728. Its totient is φ = 41942400.

The previous prime is 138410959. The next prime is 138410981. The reversal of 138410976 is 679014831.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64480 + ... + 66591.

It is an arithmetic number, because the mean of its divisors is an integer number (8257536).

Almost surely, 2138410976 is an apocalyptic number.

138410976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138410976 is an abundant number, since it is smaller than the sum of its proper divisors (257950752).

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

138410976 is a wasteful number, since it uses less digits than its factorization.

138410976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131095 (or 131087 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 138410976 is about 11764.8194206286. The cubic root of 138410976 is about 517.2774071285.

It can be divided in two parts, 138 and 410976, that added together give a palindrome (411114).

The spelling of 138410976 in words is "one hundred thirty-eight million, four hundred ten thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 131071 262142 393213 524284 786426 1048568 1441781 1572852 2097136 2883562 3145704 4194272 4325343 5767124 6291408 8650686 11534248 12582816 17301372 23068496 34602744 46136992 69205488 138410976