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149713680 = 24355997109
BaseRepresentation
bin10001110110001…
…11001100010000
3101102201020120010
420323013030100
5301311314210
622504514520
73465355014
oct1073071420
9342636503
10149713680
1177567116
124217ba40
132502b79c
1415c52544
15d224920
hex8ec7310

149713680 has 160 divisors (see below), whose sum is σ = 481219200. Its totient is φ = 38486016.

The previous prime is 149713661. The next prime is 149713687. The reversal of 149713680 is 86317941.

It is not an unprimeable number, because it can be changed into a prime (149713687) 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, 1373466 + ... + 1373574.

It is an arithmetic number, because the mean of its divisors is an integer number (3007620).

Almost surely, 2149713680 is an apocalyptic number.

149713680 is a gapful number since it is divisible by the number (10) 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 149713680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240609600).

149713680 is an abundant number, since it is smaller than the sum of its proper divisors (331505520).

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

149713680 is a wasteful number, since it uses less digits than its factorization.

149713680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 149713680 is about 12235.7541655592. The cubic root of 149713680 is about 530.9910021493.

The spelling of 149713680 in words is "one hundred forty-nine million, seven hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 97 109 118 120 177 194 218 236 240 291 295 327 354 388 436 472 485 545 582 590 654 708 776 872 885 944 970 1090 1164 1180 1308 1416 1455 1552 1635 1744 1770 1940 2180 2328 2360 2616 2832 2910 3270 3540 3880 4360 4656 4720 5232 5723 5820 6431 6540 7080 7760 8720 10573 11446 11640 12862 13080 14160 17169 19293 21146 22892 23280 25724 26160 28615 31719 32155 34338 38586 42292 45784 51448 52865 57230 63438 64310 68676 77172 84584 85845 91568 96465 102896 105730 114460 126876 128620 137352 154344 158595 169168 171690 192930 211460 228920 253752 257240 274704 308688 317190 343380 385860 422920 457840 507504 514480 623807 634380 686760 771720 845840 1247614 1268760 1373520 1543440 1871421 2495228 2537520 3119035 3742842 4990456 6238070 7485684 9357105 9980912 12476140 14971368 18714210 24952280 29942736 37428420 49904560 74856840 149713680