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139928544 = 25327312239
BaseRepresentation
bin10000101011100…
…10001111100000
3100202022002212200
420111302033200
5241310203134
621515053200
73316241640
oct1025621740
9322262780
10139928544
1171a93428
123aa41200
1322cb3972
1414826520
15c440499
hex85723e0

139928544 has 144 divisors (see below), whose sum is σ = 469647360. Its totient is φ = 38672640.

The previous prime is 139928519. The next prime is 139928557. The reversal of 139928544 is 445829931.

139928544 is a `hidden beast` number, since 13 + 9 + 92 + 8 + 544 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 139928544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61377 + ... + 63615.

It is an arithmetic number, because the mean of its divisors is an integer number (3261440).

Almost surely, 2139928544 is an apocalyptic number.

139928544 is a gapful number since it is divisible by the number (14) 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 139928544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234823680).

139928544 is an abundant number, since it is smaller than the sum of its proper divisors (329718816).

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

139928544 is a wasteful number, since it uses less digits than its factorization.

139928544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2282 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 139928544 is about 11829.1396136828. The cubic root of 139928544 is about 519.1610535180.

The spelling of 139928544 in words is "one hundred thirty-nine million, nine hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1953 2016 2232 2239 2604 2976 3472 3906 4464 4478 5208 6717 6944 7812 8928 8956 10416 13434 15624 15673 17912 20151 20832 26868 31248 31346 35824 40302 47019 53736 62496 62692 69409 71648 80604 94038 107472 125384 138818 141057 161208 188076 208227 214944 250768 277636 282114 322416 376152 416454 485863 501536 555272 564228 624681 644832 752304 832908 971726 1110544 1128456 1249362 1457589 1504608 1665816 1943452 2221088 2256912 2498724 2915178 3331632 3886904 4372767 4513824 4997448 5830356 6663264 7773808 8745534 9994896 11660712 15547616 17491068 19989792 23321424 34982136 46642848 69964272 139928544