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150891012 = 22343183181
BaseRepresentation
bin10001111111001…
…10101000000100
3101111221001120000
420333212220010
5302112003022
622550041300
73511360326
oct1077465004
9344831500
10150891012
11781a0718
1242649230
132535162c
141607b616
15d3a86ac
hex8fe6a04

150891012 has 120 divisors (see below), whose sum is σ = 414365952. Its totient is φ = 47822400.

The previous prime is 150891011. The next prime is 150891023. The reversal of 150891012 is 210198051.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (150891011) 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 39 ways as a sum of consecutive naturals, for example, 833562 + ... + 833742.

Almost surely, 2150891012 is an apocalyptic number.

150891012 is a gapful number since it is divisible by the number (12) 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 150891012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207182976).

150891012 is an abundant number, since it is smaller than the sum of its proper divisors (263474940).

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

150891012 is a wasteful number, since it uses less digits than its factorization.

150891012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 150891012 is about 12283.7702681221. The cubic root of 150891012 is about 532.3792545113.

The spelling of 150891012 in words is "one hundred fifty million, eight hundred ninety-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 83 93 108 124 162 166 181 186 249 279 324 332 362 372 498 543 558 724 747 837 996 1086 1116 1494 1629 1674 2172 2241 2511 2573 2988 3258 3348 4482 4887 5022 5146 5611 6516 6723 7719 8964 9774 10044 10292 11222 13446 14661 15023 15438 16833 19548 22444 23157 26892 29322 30046 30876 33666 45069 46314 50499 58644 60092 67332 69471 90138 92628 100998 135207 138942 151497 180276 201996 208413 270414 277884 302994 405621 416826 454491 465713 540828 605988 811242 833652 908982 931426 1216863 1397139 1622484 1817964 1862852 2433726 2794278 4191417 4867452 5588556 8382834 12574251 16765668 25148502 37722753 50297004 75445506 150891012