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150552160 = 25511113757
BaseRepresentation
bin10001111100100…
…11111001100000
3101111021211201221
420332103321200
5302020132120
622534504424
73505446403
oct1076237140
9344254657
10150552160
1177a8a080
1242505114
1325263325
1415dcdd3a
15d33d0aa
hex8f93e60

150552160 has 96 divisors (see below), whose sum is σ = 391964832. Its totient is φ = 54190080.

The previous prime is 150552109. The next prime is 150552161. The reversal of 150552160 is 61255051.

150552160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150552161) 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, 198502 + ... + 199258.

It is an arithmetic number, because the mean of its divisors is an integer number (4082967).

Almost surely, 2150552160 is an apocalyptic number.

150552160 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 150552160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195982416).

150552160 is an abundant number, since it is smaller than the sum of its proper divisors (241412672).

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

150552160 is a wasteful number, since it uses less digits than its factorization.

150552160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 150552160 is about 12269.9698451137. The cubic root of 150552160 is about 531.9804391021.

The spelling of 150552160 in words is "one hundred fifty million, five hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 113 160 176 220 226 352 440 452 565 757 880 904 1130 1243 1514 1760 1808 2260 2486 3028 3616 3785 4520 4972 6056 6215 7570 8327 9040 9944 12112 12430 15140 16654 18080 19888 24224 24860 30280 33308 39776 41635 49720 60560 66616 83270 85541 99440 121120 133232 166540 171082 198880 266464 333080 342164 427705 666160 684328 855410 940951 1332320 1368656 1710820 1881902 2737312 3421640 3763804 4704755 6843280 7527608 9409510 13686560 15055216 18819020 30110432 37638040 75276080 150552160