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139311396 = 2232717311049
BaseRepresentation
bin10000100110110…
…11100100100100
3100201010202022100
420103123210210
5241130431041
621453532100
73311061450
oct1023334444
9321122270
10139311396
1171701794
123a7a4030
1322b28aa3
1414705660
15c36c6b6
hex84db924

139311396 has 144 divisors (see below), whose sum is σ = 440294400. Its totient is φ = 36218880.

The previous prime is 139311353. The next prime is 139311451. The reversal of 139311396 is 693113931.

It is a super-3 number, since 3×1393113963 (a number of 25 digits) contains 333 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 139311396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132280 + ... + 133328.

It is an arithmetic number, because the mean of its divisors is an integer number (3057600).

Almost surely, 2139311396 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 139311396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

139311396 is an abundant number, since it is smaller than the sum of its proper divisors (300983004).

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

139311396 is a wasteful number, since it uses less digits than its factorization.

139311396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1109 counting only the distinct ones).

The product of its digits is 13122, while the sum is 36.

The square root of 139311396 is about 11803.0248665332. The cubic root of 139311396 is about 518.3966838637.

The spelling of 139311396 in words is "one hundred thirty-nine million, three hundred eleven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 31 34 36 42 51 62 63 68 84 93 102 119 124 126 153 186 204 217 238 252 279 306 357 372 434 476 527 558 612 651 714 868 1049 1054 1071 1116 1302 1428 1581 1953 2098 2108 2142 2604 3147 3162 3689 3906 4196 4284 4743 6294 6324 7343 7378 7812 9441 9486 11067 12588 14686 14756 17833 18882 18972 22029 22134 29372 32519 33201 35666 37764 44058 44268 53499 65038 66087 66402 71332 88116 97557 106998 124831 130076 132174 132804 160497 195114 213996 227633 249662 264348 292671 320994 374493 390228 455266 499324 552823 585342 641988 682899 748986 910532 1105646 1123479 1170684 1365798 1497972 1658469 2048697 2211292 2246958 2731596 3316938 3869761 4097394 4493916 4975407 6633876 7739522 8194788 9950814 11609283 15479044 19901628 23218566 34827849 46437132 69655698 139311396