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150710976 = 2633136709
BaseRepresentation
bin10001111101110…
…10101011000000
3101111120220121000
420332322223000
5302040222401
622542132000
73510010413
oct1076725300
9344526530
10150710976
1178088429
1242581000
13252ba6c0
1416031b7a
15d370186
hex8fbaac0

150710976 has 112 divisors (see below), whose sum is σ = 477215200. Its totient is φ = 46365696.

The previous prime is 150710971. The next prime is 150710981. The reversal of 150710976 is 679017051.

150710976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150710971) and next prime (150710981).

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 150710976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150710971) 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, 19110 + ... + 25818.

It is an arithmetic number, because the mean of its divisors is an integer number (4260850).

Almost surely, 2150710976 is an apocalyptic number.

150710976 is a gapful number since it is divisible by the number (16) 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 150710976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238607600).

150710976 is an abundant number, since it is smaller than the sum of its proper divisors (326504224).

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

150710976 is a wasteful number, since it uses less digits than its factorization.

150710976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6743 (or 6727 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 150710976 is about 12276.4398748171. The cubic root of 150710976 is about 532.1674336840.

The spelling of 150710976 in words is "one hundred fifty million, seven hundred ten thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 6709 7488 11232 13418 20127 22464 26836 40254 53672 60381 80508 87217 107344 120762 161016 174434 181143 214688 241524 261651 322032 348868 362286 429376 483048 523302 644064 697736 724572 784953 966096 1046604 1288128 1395472 1449144 1569906 1932192 2093208 2354859 2790944 2898288 3139812 3864384 4186416 4709718 5581888 5796576 6279624 8372832 9419436 11593152 12559248 16745664 18838872 25118496 37677744 50236992 75355488 150710976