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150001032 = 23323439619
BaseRepresentation
bin10001111000011…
…01010110001000
3101110020211201210
420330031112020
5301400013112
622515013120
73500662536
oct1074152610
9343224653
10150001032
1177742aa5
124229a1a0
13250cc50c
1415cc9156
15d27eb3c
hex8f0d588

150001032 has 64 divisors (see below), whose sum is σ = 392832000. Its totient is φ = 47640384.

The previous prime is 150000989. The next prime is 150001039. The reversal of 150001032 is 230100051.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 150000999 and 150001017.

It is not an unprimeable number, because it can be changed into a prime (150001039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242019 + ... + 242637.

It is an arithmetic number, because the mean of its divisors is an integer number (6138000).

Almost surely, 2150001032 is an apocalyptic number.

150001032 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 150001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196416000).

150001032 is an abundant number, since it is smaller than the sum of its proper divisors (242830968).

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

150001032 is a wasteful number, since it uses less digits than its factorization.

150001032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 150001032 is about 12247.4908450670. The cubic root of 150001032 is about 531.3305031037.

Adding to 150001032 its reverse (230100051), we get a palindrome (380101083).

The spelling of 150001032 in words is "one hundred fifty million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 439 552 619 878 1238 1317 1756 1857 2476 2634 3512 3714 4952 5268 7428 10097 10536 14237 14856 20194 28474 30291 40388 42711 56948 60582 80776 85422 113896 121164 170844 242328 271741 341688 543482 815223 1086964 1630446 2173928 3260892 6250043 6521784 12500086 18750129 25000172 37500258 50000344 75000516 150001032