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150909900 = 223522321871
BaseRepresentation
bin10001111111010…
…11001111001100
3101111222000110120
420333223033030
5302113104100
622550304540
73511466361
oct1077531714
9344860416
10150909900
1178203929
1242658150
132535a0cb
1416084468
15d3ae0a0
hex8feb3cc

150909900 has 72 divisors (see below), whose sum is σ = 455637504. Its totient is φ = 38491200.

The previous prime is 150909839. The next prime is 150909931. The reversal of 150909900 is 9909051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4036 + ... + 17835.

Almost surely, 2150909900 is an apocalyptic number.

150909900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150909900 is an abundant number, since it is smaller than the sum of its proper divisors (304727604).

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

150909900 is a wasteful number, since it uses less digits than its factorization.

150909900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21911 (or 21904 counting only the distinct ones).

The product of its (nonzero) digits is 3645, while the sum is 33.

The square root of 150909900 is about 12284.5390633918. The cubic root of 150909900 is about 532.4014673648.

The spelling of 150909900 in words is "one hundred fifty million, nine hundred nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 21871 43742 65613 87484 109355 131226 218710 262452 328065 437420 503033 546775 656130 1006066 1093550 1312260 1509099 1640325 2012132 2187100 2515165 3018198 3280650 5030330 6036396 6561300 7545495 10060660 12575825 15090990 25151650 30181980 37727475 50303300 75454950 150909900