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150693900 = 22352773983
BaseRepresentation
bin10001111101101…
…10100000001100
3101111120001011120
420332312200030
5302034201100
622541520540
73506606550
oct1076664014
9344501146
10150693900
1178076615
1242573150
13252b29b6
1416029860
15d36a0a0
hex8fb680c

150693900 has 144 divisors (see below), whose sum is σ = 505634304. Its totient is φ = 33937920.

The previous prime is 150693877. The next prime is 150693911. The reversal of 150693900 is 9396051.

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 47 ways as a sum of consecutive naturals, for example, 152809 + ... + 153791.

Almost surely, 2150693900 is an apocalyptic number.

150693900 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 150693900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252817152).

150693900 is an abundant number, since it is smaller than the sum of its proper divisors (354940404).

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

150693900 is a wasteful number, since it uses less digits than its factorization.

150693900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 150693900 is about 12275.7443766152. The cubic root of 150693900 is about 532.1473342094.

The spelling of 150693900 in words is "one hundred fifty million, six hundred ninety-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 73 75 84 100 105 140 146 150 175 210 219 292 300 350 365 420 438 511 525 700 730 876 983 1022 1050 1095 1460 1533 1825 1966 2044 2100 2190 2555 2949 3066 3650 3932 4380 4915 5110 5475 5898 6132 6881 7300 7665 9830 10220 10950 11796 12775 13762 14745 15330 19660 20643 21900 24575 25550 27524 29490 30660 34405 38325 41286 49150 51100 58980 68810 71759 73725 76650 82572 98300 103215 137620 143518 147450 153300 172025 206430 215277 287036 294900 344050 358795 412860 430554 502313 516075 688100 717590 861108 1004626 1032150 1076385 1435180 1506939 1793975 2009252 2064300 2152770 2511565 3013878 3587950 4305540 5023130 5381925 6027756 7175900 7534695 10046260 10763850 12557825 15069390 21527700 25115650 30138780 37673475 50231300 75346950 150693900