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139130816 = 26111071847
BaseRepresentation
bin10000100101011…
…11011111000000
3100200210120121012
420102233133000
5241104141231
621450020052
73306410126
oct1022573700
9320716535
10139130816
1171599050
123a717628
1322a94836
1414699916
15c333e2b
hex84af7c0

139130816 has 56 divisors (see below), whose sum is σ = 304166016. Its totient is φ = 62616320.

The previous prime is 139130807. The next prime is 139130837. The reversal of 139130816 is 618031931.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74405 + ... + 76251.

It is an arithmetic number, because the mean of its divisors is an integer number (5431536).

Almost surely, 2139130816 is an apocalyptic number.

139130816 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 139130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152083008).

139130816 is an abundant number, since it is smaller than the sum of its proper divisors (165035200).

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

139130816 is a wasteful number, since it uses less digits than its factorization.

139130816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 139130816 is about 11795.3726520191. The cubic root of 139130816 is about 518.1725994200.

The spelling of 139130816 in words is "one hundred thirty-nine million, one hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 176 214 352 428 704 856 1177 1712 1847 2354 3424 3694 4708 6848 7388 9416 14776 18832 20317 29552 37664 40634 59104 75328 81268 118208 162536 197629 325072 395258 650144 790516 1300288 1581032 2173919 3162064 4347838 6324128 8695676 12648256 17391352 34782704 69565408 139130816