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149872640 = 21353659
BaseRepresentation
bin10001110111011…
…10000000000000
3101110000022121112
420323232000000
5301331411030
622512142452
73466616321
oct1073560000
9343008545
10149872640
1177665595
1242237a28
1325085c48
1415c94448
15d256a95
hex8eee000

149872640 has 56 divisors (see below), whose sum is σ = 359770680. Its totient is φ = 59932672.

The previous prime is 149872621. The next prime is 149872643. The reversal of 149872640 is 46278941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149872643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39131 + ... + 42789.

Almost surely, 2149872640 is an apocalyptic number.

149872640 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 149872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179885340).

149872640 is an abundant number, since it is smaller than the sum of its proper divisors (209898040).

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

149872640 is an frugal number, since it uses more digits than its factorization.

149872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3690 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 149872640 is about 12242.2481595498. The cubic root of 149872640 is about 531.1788640160.

The spelling of 149872640 in words is "one hundred forty-nine million, eight hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 3659 4096 5120 7318 8192 10240 14636 18295 20480 29272 36590 40960 58544 73180 117088 146360 234176 292720 468352 585440 936704 1170880 1873408 2341760 3746816 4683520 7493632 9367040 14987264 18734080 29974528 37468160 74936320 149872640