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139692672 = 27327171019
BaseRepresentation
bin10000101001110…
…00101010000000
3100201212010022200
420110320222000
5241230131142
621510033200
73314240160
oct1024705200
9321763280
10139692672
1171942199
123a948800
1322c304b2
14147a45a0
15c3e564c
hex8538a80

139692672 has 192 divisors, whose sum is σ = 486907200. Its totient is φ = 37527552.

The previous prime is 139692671. The next prime is 139692697. The reversal of 139692672 is 276296931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1396926722 = 39028085220999168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (139692671) 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, 136579 + ... + 137597.

It is an arithmetic number, because the mean of its divisors is an integer number (2535975).

Almost surely, 2139692672 is an apocalyptic number.

139692672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139692672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243453600).

139692672 is an abundant number, since it is smaller than the sum of its proper divisors (347214528).

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

139692672 is a wasteful number, since it uses less digits than its factorization.

139692672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1048 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 139692672 is about 11819.1654527720. The cubic root of 139692672 is about 518.8691797202.

It can be divided in two parts, 13969 and 2672, that added together give a square (16641 = 1292).

The spelling of 139692672 in words is "one hundred thirty-nine million, six hundred ninety-two thousand, six hundred seventy-two".