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139727440 = 24510117293
BaseRepresentation
bin10000101010000…
…01001001010000
3100201220220000101
420111001021100
5241232234230
621510502144
73314443426
oct1025011120
9321826011
10139727440
1171966326
123a964954
1322c43278
14147b3116
15c400aca
hex8541250

139727440 has 40 divisors (see below), whose sum is σ = 328101768. Its totient is φ = 55334400.

The previous prime is 139727417. The next prime is 139727479. The reversal of 139727440 is 44727931.

It can be written as a sum of positive squares in 4 ways, for example, as 14197824 + 125529616 = 3768^2 + 11204^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 139727440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 567 + ... + 16726.

Almost surely, 2139727440 is an apocalyptic number.

139727440 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 139727440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164050884).

139727440 is an abundant number, since it is smaller than the sum of its proper divisors (188374328).

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

139727440 is a wasteful number, since it uses less digits than its factorization.

139727440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17407 (or 17401 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 139727440 is about 11820.6361926928. The cubic root of 139727440 is about 518.9122231310.

It can be divided in two parts, 13972 and 7440, that added together give a palindrome (21412).

The spelling of 139727440 in words is "one hundred thirty-nine million, seven hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 17293 34586 69172 86465 138344 172930 276688 345860 691720 1383440 1746593 3493186 6986372 8732965 13972744 17465930 27945488 34931860 69863720 139727440