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139772880 = 2432513109137
BaseRepresentation
bin10000101010011…
…00001111010000
3100202000012100100
420111030033100
5241240213010
621511452400
73315023052
oct1025141720
9322005310
10139772880
1171997485
123a987100
1322c5ab60
14147c58d2
15c40e2c0
hex854c3d0

139772880 has 240 divisors, whose sum is σ = 513873360. Its totient is φ = 33841152.

The previous prime is 139772849. The next prime is 139772891. The reversal of 139772880 is 88277931.

It can be written as a sum of positive squares in 8 ways, for example, as 2039184 + 137733696 = 1428^2 + 11736^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 1020172 + ... + 1020308.

It is an arithmetic number, because the mean of its divisors is an integer number (2141139).

Almost surely, 2139772880 is an apocalyptic number.

139772880 is a gapful number since it is divisible by the number (10) 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 139772880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256936680).

139772880 is an abundant number, since it is smaller than the sum of its proper divisors (374100480).

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

139772880 is a wasteful number, since it uses less digits than its factorization.

139772880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 139772880 is about 11822.5580988211. The cubic root of 139772880 is about 518.9684679073.

The spelling of 139772880 in words is "one hundred thirty-nine million, seven hundred seventy-two thousand, eight hundred eighty".