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139442688 = 2933711131
BaseRepresentation
bin10000100111110…
…11101000000000
3100201101102102000
420103323220000
5241144131223
621500424000
73312146310
oct1023735000
9321342360
10139442688
11717913a0
123a848000
1322b73788
141473b440
15c396543
hex84fba00

139442688 has 320 divisors, whose sum is σ = 518538240. Its totient is φ = 35942400.

The previous prime is 139442659. The next prime is 139442689. The reversal of 139442688 is 886244931.

It is a happy number.

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 (139442689) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1064383 + ... + 1064513.

It is an arithmetic number, because the mean of its divisors is an integer number (1620432).

Almost surely, 2139442688 is an apocalyptic number.

139442688 is a gapful number since it is divisible by the number (18) 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 139442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259269120).

139442688 is an abundant number, since it is smaller than the sum of its proper divisors (379095552).

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

139442688 is a wasteful number, since it uses less digits than its factorization.

139442688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 139442688 is about 11808.5853513450. The cubic root of 139442688 is about 518.5594845376.

The spelling of 139442688 in words is "one hundred thirty-nine million, four hundred forty-two thousand, six hundred eighty-eight".