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149399536 = 2411131723167
BaseRepresentation
bin10001110011110…
…10011111110000
3101102010021122011
420321322133300
5301221241121
622454052304
73462606106
oct1071723760
9342107564
10149399536
11773720a0
124204a094
1324c4b7c0
1415badc76
15d1b17e1
hex8e7a7f0

149399536 has 160 divisors (see below), whose sum is σ = 377975808. Its totient is φ = 56094720.

The previous prime is 149399533. The next prime is 149399557. The reversal of 149399536 is 635993941.

It is a self number, because there is not a number n which added to its sum of digits gives 149399536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149399533) 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, 894525 + ... + 894691.

Almost surely, 2149399536 is an apocalyptic number.

149399536 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 149399536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987904).

149399536 is an abundant number, since it is smaller than the sum of its proper divisors (228576272).

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

149399536 is a wasteful number, since it uses less digits than its factorization.

149399536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its digits is 787320, while the sum is 49.

The square root of 149399536 is about 12222.9102917431. The cubic root of 149399536 is about 530.6193495292.

The spelling of 149399536 in words is "one hundred forty-nine million, three hundred ninety-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 17 22 23 26 34 44 46 52 68 88 92 104 136 143 167 176 184 187 208 221 253 272 286 299 334 368 374 391 442 506 572 598 668 748 782 884 1012 1144 1196 1336 1496 1564 1768 1837 2024 2171 2288 2392 2431 2672 2839 2992 3128 3289 3536 3674 3841 4048 4301 4342 4784 4862 5083 5678 6256 6578 7348 7682 8602 8684 9724 10166 11356 13156 14696 15364 17204 17368 19448 20332 22712 23881 26312 29392 30728 31229 34408 34736 36907 38896 40664 42251 45424 47762 49933 52624 55913 61456 62458 65297 68816 73814 81328 84502 95524 99866 111826 124916 130594 147628 169004 191048 199732 223652 249832 261188 295256 338008 382096 399464 405977 447304 499664 522376 549263 590512 676016 718267 798928 811954 848861 894608 1044752 1098526 1436534 1623908 1697722 2197052 2873068 3247816 3395444 4394104 5746136 6495632 6790888 8788208 9337471 11492272 13581776 18674942 37349884 74699768 149399536