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150515040 = 25351324121
BaseRepresentation
bin10001111100010…
…10110101100000
3101111012221211010
420332022311200
5302012440130
622534020520
73505233234
oct1076126540
9344187733
10150515040
1177a641a5
12424a7740
132524c470
1415dc05c4
15d3320b0
hex8f8ad60

150515040 has 96 divisors (see below), whose sum is σ = 510614496. Its totient is φ = 37048320.

The previous prime is 150515023. The next prime is 150515063. The reversal of 150515040 is 40515051.

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

It is a junction number, because it is equal to n+sod(n) for n = 150514998 and 150515016.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5821 + ... + 18300.

It is an arithmetic number, because the mean of its divisors is an integer number (5318901).

Almost surely, 2150515040 is an apocalyptic number.

150515040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150515040 is an abundant number, since it is smaller than the sum of its proper divisors (360099456).

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

150515040 is a wasteful number, since it uses less digits than its factorization.

150515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24152 (or 24144 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 150515040 is about 12268.4571157094. The cubic root of 150515040 is about 531.9367139749.

The spelling of 150515040 in words is "one hundred fifty million, five hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 24121 48242 72363 96484 120605 144726 192968 241210 289452 313573 361815 385936 482420 578904 627146 723630 771872 940719 964840 1157808 1254292 1447260 1567865 1881438 1929680 2315616 2508584 2894520 3135730 3762876 3859360 4703595 5017168 5789040 6271460 7525752 9407190 10034336 11578080 12542920 15051504 18814380 25085840 30103008 37628760 50171680 75257520 150515040