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149792960 = 2651971347
BaseRepresentation
bin10001110110110…
…10100011000000
3101102212021022102
420323122203000
5301321333320
622510325532
73466135112
oct1073324300
9342767272
10149792960
1177610739
12421b98a8
13250588b5
1415c733b2
15d23d175
hex8eda8c0

149792960 has 112 divisors (see below), whose sum is σ = 381853440. Its totient is φ = 55802880.

The previous prime is 149792939. The next prime is 149792969. The reversal of 149792960 is 69297941.

It is not an unprimeable number, because it can be changed into a prime (149792969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431507 + ... + 431853.

Almost surely, 2149792960 is an apocalyptic number.

149792960 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 149792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190926720).

149792960 is an abundant number, since it is smaller than the sum of its proper divisors (232060480).

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

149792960 is a wasteful number, since it uses less digits than its factorization.

149792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 47.

The square root of 149792960 is about 12238.9934226635. The cubic root of 149792960 is about 531.0847133321.

The spelling of 149792960 in words is "one hundred forty-nine million, seven hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 71 76 80 95 142 152 160 190 284 304 320 347 355 380 568 608 694 710 760 1136 1216 1349 1388 1420 1520 1735 2272 2698 2776 2840 3040 3470 4544 5396 5552 5680 6080 6593 6745 6940 10792 11104 11360 13186 13490 13880 21584 22208 22720 24637 26372 26980 27760 32965 43168 49274 52744 53960 55520 65930 86336 98548 105488 107920 111040 123185 131860 197096 210976 215840 246370 263720 394192 421952 431680 468103 492740 527440 788384 936206 985480 1054880 1576768 1872412 1970960 2109760 2340515 3744824 3941920 4681030 7489648 7883840 9362060 14979296 18724120 29958592 37448240 74896480 149792960