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150057640 = 23517220673
BaseRepresentation
bin10001111000110…
…11001010101000
3101110100201101101
420330123022220
5301403321030
622520131144
73501316555
oct1074331250
9343321341
10150057640
1177781587
1242306ab4
132511c205
1415d01a2c
15d2917ca
hex8f1b2a8

150057640 has 32 divisors (see below), whose sum is σ = 357491880. Its totient is φ = 56492032.

The previous prime is 150057613. The next prime is 150057643. The reversal of 150057640 is 46750051.

It can be written as a sum of positive squares in 4 ways, for example, as 110292004 + 39765636 = 10502^2 + 6306^2 .

It is a junction number, because it is equal to n+sod(n) for n = 150057599 and 150057608.

It is not an unprimeable number, because it can be changed into a prime (150057643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 109657 + ... + 111016.

Almost surely, 2150057640 is an apocalyptic number.

150057640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150057640 is an abundant number, since it is smaller than the sum of its proper divisors (207434240).

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

150057640 is a wasteful number, since it uses less digits than its factorization.

150057640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220701 (or 220697 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 150057640 is about 12249.8016310469. The cubic root of 150057640 is about 531.3973332535.

The spelling of 150057640 in words is "one hundred fifty million, fifty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 220673 441346 882692 1103365 1765384 2206730 3751441 4413460 7502882 8826920 15005764 18757205 30011528 37514410 75028820 150057640