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150908640 = 25351916547
BaseRepresentation
bin10001111111010…
…10111011100000
3101111221221201220
420333222323200
5302113034030
622550255040
73511462611
oct1077527340
9344857656
10150908640
1178202993
1242657480
132535966c
1416083c08
15d3ada10
hex8feaee0

150908640 has 96 divisors (see below), whose sum is σ = 500411520. Its totient is φ = 38121984.

The previous prime is 150908633. The next prime is 150908671. The reversal of 150908640 is 46809051.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847 + ... + 17393.

It is an arithmetic number, because the mean of its divisors is an integer number (5212620).

Almost surely, 2150908640 is an apocalyptic number.

150908640 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 150908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250205760).

150908640 is an abundant number, since it is smaller than the sum of its proper divisors (349502880).

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

150908640 is a wasteful number, since it uses less digits than its factorization.

150908640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16584 (or 16576 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 150908640 is about 12284.4877793093. The cubic root of 150908640 is about 532.3999856247.

The spelling of 150908640 in words is "one hundred fifty million, nine hundred eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 16547 33094 49641 66188 82735 99282 132376 165470 198564 248205 264752 314393 330940 397128 496410 529504 628786 661880 794256 943179 992820 1257572 1323760 1571965 1588512 1886358 1985640 2515144 2647520 3143930 3772716 3971280 4715895 5030288 6287860 7545432 7942560 9431790 10060576 12575720 15090864 18863580 25151440 30181728 37727160 50302880 75454320 150908640