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137699244 = 223343149199
BaseRepresentation
bin10000011010100…
…01111110101100
3100121002211212000
420031101332230
5240222333434
621355212300
73261265344
oct1015217654
9317084760
10137699244
1170800531
123a147090
13226b3057
1414405d24
15c14eb99
hex8351fac

137699244 has 96 divisors (see below), whose sum is σ = 369600000. Its totient is φ = 44307648.

The previous prime is 137699231. The next prime is 137699249. The reversal of 137699244 is 442996731.

It is a happy number.

137699244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1376992442 = 37922163596343072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137699244.

It is not an unprimeable number, because it can be changed into a prime (137699249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691857 + ... + 692055.

It is an arithmetic number, because the mean of its divisors is an integer number (3850000).

Almost surely, 2137699244 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 137699244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184800000).

137699244 is an abundant number, since it is smaller than the sum of its proper divisors (231900756).

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

137699244 is a wasteful number, since it uses less digits than its factorization.

137699244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 137699244 is about 11734.5321167910. The cubic root of 137699244 is about 516.3892411884.

The spelling of 137699244 in words is "one hundred thirty-seven million, six hundred ninety-nine thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 149 172 199 258 298 387 398 447 516 596 597 774 796 894 1161 1194 1341 1548 1788 1791 2322 2388 2682 3582 4023 4644 5364 5373 6407 7164 8046 8557 10746 12814 16092 17114 19221 21492 25628 25671 29651 34228 38442 51342 57663 59302 76884 77013 88953 102684 115326 118604 154026 172989 177906 230652 231039 266859 308052 345978 355812 462078 533718 691956 800577 924156 1067436 1274993 1601154 2549986 3202308 3824979 5099972 7649958 11474937 15299916 22949874 34424811 45899748 68849622 137699244