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150341072 = 24719314353
BaseRepresentation
bin10001111011000…
…00010111010000
3101110220010011212
420331200113100
5301441403242
622530155252
73503610110
oct1075402720
9343803155
10150341072
1177955522
1242422b28
13251bb21b
1415d77040
15d2ea782
hex8f605d0

150341072 has 160 divisors (see below), whose sum is σ = 377118720. Its totient is φ = 56609280.

The previous prime is 150341063. The next prime is 150341083. The reversal of 150341072 is 270143051.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2836598 + ... + 2836650.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 2150341072 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 150341072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188559360).

150341072 is an abundant number, since it is smaller than the sum of its proper divisors (226777648).

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

150341072 is a wasteful number, since it uses less digits than its factorization.

150341072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 150341072 is about 12261.3650137332. The cubic root of 150341072 is about 531.7316942810.

The spelling of 150341072 in words is "one hundred fifty million, three hundred forty-one thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 43 53 56 62 76 86 106 112 124 133 152 172 212 217 248 266 301 304 344 371 424 434 496 532 589 602 688 742 817 848 868 1007 1064 1178 1204 1333 1484 1634 1643 1736 2014 2128 2279 2356 2408 2666 2968 3268 3286 3472 4028 4123 4558 4712 4816 5332 5719 5936 6536 6572 7049 8056 8246 9116 9331 9424 10664 11438 11501 13072 13144 14098 15953 16112 16492 18232 18662 21328 22876 23002 25327 26288 28196 31217 31906 32984 36464 37324 43301 45752 46004 50654 56392 62434 63812 65968 70649 74648 86602 91504 92008 101308 112784 124868 127624 141298 149296 173204 177289 184016 202616 218519 249736 255248 282596 303107 346408 354578 405232 437038 494543 499472 565192 606214 692816 709156 874076 989086 1130384 1212428 1342331 1418312 1748152 1978172 2424856 2684662 2836624 3496304 3956344 4849712 5369324 7912688 9396317 10738648 18792634 21477296 37585268 75170536 150341072