Search a number
-
+
139200576 = 2634117683
BaseRepresentation
bin10000100110000…
…00100001000000
3100200221010021220
420103000201000
5241113404301
621451315040
73310120404
oct1023004100
9320833256
10139200576
11716364a9
123a74ba80
1322aba508
14146b7104
15c349936
hex84c0840

139200576 has 56 divisors (see below), whose sum is σ = 377305824. Its totient is φ = 45265920.

The previous prime is 139200559. The next prime is 139200587. The reversal of 139200576 is 675002931.

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, 970 + ... + 16713.

It is an arithmetic number, because the mean of its divisors is an integer number (6737604).

Almost surely, 2139200576 is an apocalyptic number.

139200576 is a gapful number since it is divisible by the number (16) 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 139200576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188652912).

139200576 is an abundant number, since it is smaller than the sum of its proper divisors (238105248).

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

139200576 is a wasteful number, since it uses less digits than its factorization.

139200576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17739 (or 17729 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 139200576 is about 11798.3293732630. The cubic root of 139200576 is about 518.2591886262.

The spelling of 139200576 in words is "one hundred thirty-nine million, two hundred thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 17683 35366 53049 70732 106098 141464 212196 282928 424392 565856 725003 848784 1131712 1450006 1697568 2175009 2900012 3395136 4350018 5800024 8700036 11600048 17400072 23200096 34800144 46400192 69600288 139200576