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139192416 = 25321153829
BaseRepresentation
bin10000100101111…
…10100001100000
3100200220201002200
420102332201200
5241113124131
621451213200
73310054536
oct1022764140
9320821080
10139192416
1171630360
123a747200
1322ab689c
14146b4156
15c3472e6
hex84be860

139192416 has 144 divisors (see below), whose sum is σ = 440490960. Its totient is φ = 41333760.

The previous prime is 139192397. The next prime is 139192421. The reversal of 139192416 is 614291931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 167490 + ... + 168318.

It is an arithmetic number, because the mean of its divisors is an integer number (3058965).

Almost surely, 2139192416 is an apocalyptic number.

139192416 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 139192416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220245480).

139192416 is an abundant number, since it is smaller than the sum of its proper divisors (301298544).

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

139192416 is a wasteful number, since it uses less digits than its factorization.

139192416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 898 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 139192416 is about 11797.9835565235. The cubic root of 139192416 is about 518.2490615665.

The spelling of 139192416 in words is "one hundred thirty-nine million, one hundred ninety-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 53 66 72 88 96 99 106 132 144 159 176 198 212 264 288 318 352 396 424 477 528 583 636 792 829 848 954 1056 1166 1272 1584 1658 1696 1749 1908 2332 2487 2544 3168 3316 3498 3816 4664 4974 5088 5247 6632 6996 7461 7632 9119 9328 9948 10494 13264 13992 14922 15264 18238 18656 19896 20988 26528 27357 27984 29844 36476 39792 41976 43937 54714 55968 59688 72952 79584 82071 83952 87874 109428 119376 131811 145904 164142 167904 175748 218856 238752 263622 291808 328284 351496 395433 437712 483307 527244 656568 702992 790866 875424 966614 1054488 1313136 1405984 1449921 1581732 1933228 2108976 2626272 2899842 3163464 3866456 4217952 4349763 5799684 6326928 7732912 8699526 11599368 12653856 15465824 17399052 23198736 34798104 46397472 69596208 139192416