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150816780 = 223257111801
BaseRepresentation
bin10001111110101…
…00100000001100
3101111210021201200
420333110200030
5302102114110
622544305500
73510631032
oct1077244014
9344707650
10150816780
117814a974
1242612290
13253268ca
141605c552
15d3916c0
hex8fd480c

150816780 has 72 divisors (see below), whose sum is σ = 463960224. Its totient is φ = 39648000.

The previous prime is 150816761. The next prime is 150816797. The reversal of 150816780 is 87618051.

It is a super-2 number, since 2×1508167802 = 45491402259136800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6880 + ... + 18680.

It is an arithmetic number, because the mean of its divisors is an integer number (6443892).

Almost surely, 2150816780 is an apocalyptic number.

150816780 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 150816780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231980112).

150816780 is an abundant number, since it is smaller than the sum of its proper divisors (313143444).

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

150816780 is a wasteful number, since it uses less digits than its factorization.

150816780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11887 (or 11882 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 150816780 is about 12280.7483485332. The cubic root of 150816780 is about 532.2919374941.

The spelling of 150816780 in words is "one hundred fifty million, eight hundred sixteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 11801 12780 23602 35403 47204 59005 70806 106209 118010 141612 177015 212418 236020 354030 424836 531045 708060 837871 1062090 1675742 2124180 2513613 3351484 4189355 5027226 7540839 8378710 10054452 12568065 15081678 16757420 25136130 30163356 37704195 50272260 75408390 150816780