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139435416 = 23321092163
BaseRepresentation
bin10000100111110…
…01110110011000
3100201101001102200
420103321312120
5241143413131
621500330200
73312116151
oct1023716630
9321331380
10139435416
117178698a
123a843960
1322b70383
1414738928
15c3942e6
hex84f9d98

139435416 has 72 divisors (see below), whose sum is σ = 383472180. Its totient is φ = 45769536.

The previous prime is 139435403. The next prime is 139435423. The reversal of 139435416 is 614534931.

139435416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 855351 + ... + 855513.

Almost surely, 2139435416 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 139435416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191736090).

139435416 is an abundant number, since it is smaller than the sum of its proper divisors (244036764).

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

139435416 is a wasteful number, since it uses less digits than its factorization.

139435416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 277 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 139435416 is about 11808.2774357651. The cubic root of 139435416 is about 518.5504700094.

The spelling of 139435416 in words is "one hundred thirty-nine million, four hundred thirty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 163 218 326 327 436 489 652 654 872 978 981 1304 1308 1467 1956 1962 2616 2934 3912 3924 5868 7848 11736 11881 17767 23762 35534 35643 47524 53301 71068 71286 95048 106602 106929 142136 142572 159903 213204 213858 285144 319806 426408 427716 639612 855432 1279224 1936603 3873206 5809809 7746412 11619618 15492824 17429427 23239236 34858854 46478472 69717708 139435416