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149251410 = 23457112393
BaseRepresentation
bin10001110010101…
…10010101010010
3101101211202110000
420321112111102
5301202021120
622450550430
73461421210
oct1071262522
9341752400
10149251410
1177280880
1241b98416
1324bc9259
1415b71cb0
15d182990
hex8e56552

149251410 has 160 divisors (see below), whose sum is σ = 500556672. Its totient is φ = 31000320.

The previous prime is 149251397. The next prime is 149251469. The reversal of 149251410 is 14152941.

149251410 is a `hidden beast` number, since 149 + 2 + 514 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61174 + ... + 63566.

Almost surely, 2149251410 is an apocalyptic number.

149251410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149251410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250278336).

149251410 is an abundant number, since it is smaller than the sum of its proper divisors (351305262).

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

149251410 is a wasteful number, since it uses less digits than its factorization.

149251410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 149251410 is about 12216.8494301927. The cubic root of 149251410 is about 530.4439261547.

The spelling of 149251410 in words is "one hundred forty-nine million, two hundred fifty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 81 90 99 105 110 126 135 154 162 165 189 198 210 231 270 297 315 330 378 385 405 462 495 567 594 630 693 770 810 891 945 990 1134 1155 1386 1485 1782 1890 2079 2310 2393 2835 2970 3465 4158 4455 4786 5670 6237 6930 7179 8910 10395 11965 12474 14358 16751 20790 21537 23930 26323 31185 33502 35895 43074 50253 52646 62370 64611 71790 78969 83755 100506 107685 129222 131615 150759 157938 167510 184261 193833 215370 236907 251265 263230 301518 323055 368522 387666 394845 452277 473814 502530 552783 646110 710721 753795 789690 904554 921305 969165 1105566 1184535 1356831 1421442 1507590 1658349 1842610 1938330 2132163 2261385 2369070 2713662 2763915 3316698 3553605 4264326 4522770 4975047 5527830 6784155 7107210 8291745 9950094 10660815 13568310 14925141 16583490 21321630 24875235 29850282 49750470 74625705 149251410