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150664160 = 25553109163
BaseRepresentation
bin10001111101011…
…11001111100000
3101111111112101002
420332233033200
5302032223120
622541131132
73506424053
oct1076571740
9344445332
10150664160
1178056239
1242559aa8
13252a22ba
141601ca9a
15d361375
hex8faf3e0

150664160 has 96 divisors (see below), whose sum is σ = 368232480. Its totient is φ = 58226688.

The previous prime is 150664159. The next prime is 150664231. The reversal of 150664160 is 61466051.

150664160 = T325 + T326 + ... + T978.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 924239 + ... + 924401.

It is an arithmetic number, because the mean of its divisors is an integer number (3835755).

Almost surely, 2150664160 is an apocalyptic number.

150664160 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 150664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184116240).

150664160 is an abundant number, since it is smaller than the sum of its proper divisors (217568320).

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

150664160 is a wasteful number, since it uses less digits than its factorization.

150664160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 150664160 is about 12274.5329850060. The cubic root of 150664160 is about 532.1123248229.

The spelling of 150664160 in words is "one hundred fifty million, six hundred sixty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 109 160 163 212 218 265 326 424 436 530 545 652 815 848 872 1060 1090 1304 1630 1696 1744 2120 2180 2608 3260 3488 4240 4360 5216 5777 6520 8480 8639 8720 11554 13040 17278 17440 17767 23108 26080 28885 34556 35534 43195 46216 57770 69112 71068 86390 88835 92432 115540 138224 142136 172780 177670 184864 231080 276448 284272 345560 355340 462160 568544 691120 710680 924320 941651 1382240 1421360 1883302 2842720 3766604 4708255 7533208 9416510 15066416 18833020 30132832 37666040 75332080 150664160