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149398656 = 27311113313
BaseRepresentation
bin10001110011110…
…10010010000000
3101102010020102120
420321322102000
5301221224111
622454044240
73462603411
oct1071722200
9342106376
10149398656
1177371470
1242049680
1324c4b294
1415bad808
15d1b1406
hex8e7a480

149398656 has 128 divisors (see below), whose sum is σ = 438143040. Its totient is φ = 44728320.

The previous prime is 149398621. The next prime is 149398673. The reversal of 149398656 is 656893941.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 149398599 and 149398608.

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 15 ways as a sum of consecutive naturals, for example, 477156 + ... + 477468.

Almost surely, 2149398656 is an apocalyptic number.

149398656 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 149398656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219071520).

149398656 is an abundant number, since it is smaller than the sum of its proper divisors (288744384).

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

149398656 is a wasteful number, since it uses less digits than its factorization.

149398656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 149398656 is about 12222.8742937167. The cubic root of 149398656 is about 530.6183077010.

The spelling of 149398656 in words is "one hundred forty-nine million, three hundred ninety-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 113 128 132 176 192 226 264 313 339 352 384 452 528 626 678 704 904 939 1056 1243 1252 1356 1408 1808 1878 2112 2486 2504 2712 3443 3616 3729 3756 4224 4972 5008 5424 6886 7232 7458 7512 9944 10016 10329 10848 13772 14464 14916 15024 19888 20032 20658 21696 27544 29832 30048 35369 39776 40064 41316 43392 55088 59664 60096 70738 79552 82632 106107 110176 119328 120192 141476 159104 165264 212214 220352 238656 282952 330528 389059 424428 440704 477312 565904 661056 778118 848856 1131808 1167177 1322112 1556236 1697712 2263616 2334354 3112472 3395424 4527232 4668708 6224944 6790848 9337416 12449888 13581696 18674832 24899776 37349664 49799552 74699328 149398656