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150067580 = 225131633541
BaseRepresentation
bin10001111000111…
…01100101111100
3101110101020000112
420330131211330
5301404130310
622520245152
73501360545
oct1074354574
9343336015
10150067580
1177788aa3
12423107b8
13251238b0
1415d054cc
15d294705
hex8f1d97c

150067580 has 48 divisors (see below), whose sum is σ = 341562144. Its totient is φ = 55054080.

The previous prime is 150067553. The next prime is 150067583. The reversal of 150067580 is 85760051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150067583) 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, 40610 + ... + 44150.

It is an arithmetic number, because the mean of its divisors is an integer number (7115878).

Almost surely, 2150067580 is an apocalyptic number.

150067580 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 150067580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170781072).

150067580 is an abundant number, since it is smaller than the sum of its proper divisors (191494564).

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

150067580 is a wasteful number, since it uses less digits than its factorization.

150067580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 150067580 is about 12250.2073451840. The cubic root of 150067580 is about 531.4090664623.

The spelling of 150067580 in words is "one hundred fifty million, sixty-seven thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 163 260 326 652 815 1630 2119 3260 3541 4238 7082 8476 10595 14164 17705 21190 35410 42380 46033 70820 92066 184132 230165 460330 577183 920660 1154366 2308732 2885915 5771830 7503379 11543660 15006758 30013516 37516895 75033790 150067580