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139867104 = 25313237233
BaseRepresentation
bin10000101011000…
…11001111100000
3100202011222121010
420111203033200
5241301221404
621513500520
73315564546
oct1025431740
9322158533
10139867104
1171a51253
123aa11740
1322c91a00
141480bd96
15c42c189
hex85633e0

139867104 has 144 divisors (see below), whose sum is σ = 410063472. Its totient is φ = 41693184.

The previous prime is 139867103. The next prime is 139867129. The reversal of 139867104 is 401768931.

139867104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139867103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600172 + ... + 600404.

It is an arithmetic number, because the mean of its divisors is an integer number (2847663).

Almost surely, 2139867104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139867104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205031736).

139867104 is an abundant number, since it is smaller than the sum of its proper divisors (270196368).

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

139867104 is a wasteful number, since it uses less digits than its factorization.

139867104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 139867104 is about 11826.5423518457. The cubic root of 139867104 is about 519.0850577661.

The spelling of 139867104 in words is "one hundred thirty-nine million, eight hundred sixty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 74 78 96 104 111 148 156 169 208 222 233 296 312 338 416 444 466 481 507 592 624 676 699 888 932 962 1014 1184 1248 1352 1398 1443 1776 1864 1924 2028 2704 2796 2886 3029 3552 3728 3848 4056 5408 5592 5772 6058 6253 7456 7696 8112 8621 9087 11184 11544 12116 12506 15392 16224 17242 18174 18759 22368 23088 24232 25012 25863 34484 36348 37518 39377 46176 48464 50024 51726 68968 72696 75036 78754 96928 100048 103452 112073 118131 137936 145392 150072 157508 200096 206904 224146 236262 275872 290784 300144 315016 336219 413808 448292 472524 600288 630032 672438 827616 896584 945048 1260064 1344876 1456949 1793168 1890096 2689752 2913898 3586336 3780192 4370847 5379504 5827796 8741694 10759008 11655592 17483388 23311184 34966776 46622368 69933552 139867104