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138967776 = 2532482527
BaseRepresentation
bin10000100100001…
…11101011100000
3100200111021221200
420102013223200
5241033432101
621442321200
73305130603
oct1022075340
9320437850
10138967776
1171497602
123a659200
1322a3856c
141465633a
15c300986
hex8487ae0

138967776 has 36 divisors (see below), whose sum is σ = 395190432. Its totient is φ = 46322496.

The previous prime is 138967747. The next prime is 138967781. The reversal of 138967776 is 677769831.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 240976 + ... + 241551.

It is an arithmetic number, because the mean of its divisors is an integer number (10977512).

Almost surely, 2138967776 is an apocalyptic number.

138967776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138967776 is an abundant number, since it is smaller than the sum of its proper divisors (256222656).

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

138967776 is a wasteful number, since it uses less digits than its factorization.

138967776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482543 (or 482532 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 138967776 is about 11788.4594413350. The cubic root of 138967776 is about 517.9701140065.

The spelling of 138967776 in words is "one hundred thirty-eight million, nine hundred sixty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 482527 965054 1447581 1930108 2895162 3860216 4342743 5790324 7720432 8685486 11580648 15440864 17370972 23161296 34741944 46322592 69483888 138967776