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139372416 = 2732337359
BaseRepresentation
bin10000100111010…
…10011110000000
3100201020212000100
420103222132000
5241134404131
621455122400
73311434401
oct1023523600
9321225010
10139372416
1171743617
123a813400
1322b4a7b1
141471d9a8
15c3807e6
hex84ea780

139372416 has 96 divisors (see below), whose sum is σ = 403369200. Its totient is φ = 46190592.

The previous prime is 139372411. The next prime is 139372423. The reversal of 139372416 is 614273931.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139372411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388045 + ... + 388403.

Almost surely, 2139372416 is an apocalyptic number.

139372416 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 139372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201684600).

139372416 is an abundant number, since it is smaller than the sum of its proper divisors (263996784).

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

139372416 is a wasteful number, since it uses less digits than its factorization.

139372416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 701 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 139372416 is about 11805.6095141251. The cubic root of 139372416 is about 518.4723607267.

The spelling of 139372416 in words is "one hundred thirty-nine million, three hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 337 359 384 576 674 718 1011 1077 1152 1348 1436 2022 2154 2696 2872 3033 3231 4044 4308 5392 5744 6066 6462 8088 8616 10784 11488 12132 12924 16176 17232 21568 22976 24264 25848 32352 34464 43136 45952 48528 51696 64704 68928 97056 103392 120983 129408 137856 194112 206784 241966 362949 388224 413568 483932 725898 967864 1088847 1451796 1935728 2177694 2903592 3871456 4355388 5807184 7742912 8710776 11614368 15485824 17421552 23228736 34843104 46457472 69686208 139372416