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150870456 = 233211712683
BaseRepresentation
bin10001111111000…
…01100110111000
3101111220000100200
420333201212320
5302110323311
622545402200
73511243362
oct1077414670
9344800320
10150870456
1178187230
1242639360
1325345179
1416073d32
15d3a2556
hex8fe19b8

150870456 has 96 divisors (see below), whose sum is σ = 452200320. Its totient is φ = 45057600.

The previous prime is 150870451. The next prime is 150870491. The reversal of 150870456 is 654078051.

It is a super-3 number, since 3×1508704563 (a number of 26 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 150870456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150870451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54891 + ... + 57573.

It is an arithmetic number, because the mean of its divisors is an integer number (4710420).

Almost surely, 2150870456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150870456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226100160).

150870456 is an abundant number, since it is smaller than the sum of its proper divisors (301329864).

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

150870456 is a wasteful number, since it uses less digits than its factorization.

150870456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 150870456 is about 12282.9335258317. The cubic root of 150870456 is about 532.3550779333.

The spelling of 150870456 in words is "one hundred fifty million, eight hundred seventy thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 71 72 88 99 132 142 198 213 264 284 396 426 568 639 781 792 852 1278 1562 1704 2343 2556 2683 3124 4686 5112 5366 6248 7029 8049 9372 10732 14058 16098 18744 21464 24147 28116 29513 32196 48294 56232 59026 64392 88539 96588 118052 177078 190493 193176 236104 265617 354156 380986 531234 571479 708312 761972 1062468 1142958 1523944 1714437 2095423 2124936 2285916 3428874 4190846 4571832 6286269 6857748 8381692 12572538 13715496 16763384 18858807 25145076 37717614 50290152 75435228 150870456