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149905640 = 23529129229
BaseRepresentation
bin10001110111101…
…10000011101000
3101110001222212202
420323312003220
5301333440030
622512555332
73500114453
oct1073660350
9343058782
10149905640
1177688365
1242252b48
1325097c81
1415ca249a
15d261745
hex8ef60e8

149905640 has 32 divisors (see below), whose sum is σ = 348921000. Its totient is φ = 57894144.

The previous prime is 149905633. The next prime is 149905699. The reversal of 149905640 is 46509941.

149905640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 97574884 + 52330756 = 9878^2 + 7234^2 .

It is a junction number, because it is equal to n+sod(n) for n = 149905594 and 149905603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63455 + ... + 65774.

Almost surely, 2149905640 is an apocalyptic number.

149905640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149905640 is an abundant number, since it is smaller than the sum of its proper divisors (199015360).

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

149905640 is a wasteful number, since it uses less digits than its factorization.

149905640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129269 (or 129265 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 149905640 is about 12243.5958770289. The cubic root of 149905640 is about 531.2178473736.

The spelling of 149905640 in words is "one hundred forty-nine million, nine hundred five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 129229 258458 516916 646145 1033832 1292290 2584580 3747641 5169160 7495282 14990564 18738205 29981128 37476410 74952820 149905640