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158106816 = 263474357
BaseRepresentation
bin10010110110010…
…00010011000000
3102000111122210000
421123020103000
5310433404231
623404440000
73626612550
oct1133102300
9360448700
10158106816
1181279a9a
1244b49000
13269a9b3a
1416dd9160
15dd316e6
hex96c84c0

158106816 has 140 divisors (see below), whose sum is σ = 535755088. Its totient is φ = 45163008.

The previous prime is 158106797. The next prime is 158106821. The reversal of 158106816 is 618601851.

158106816 is a `hidden beast` number, since 1 + 581 + 0 + 68 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34110 + ... + 38466.

Almost surely, 2158106816 is an apocalyptic number.

158106816 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 158106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267877544).

158106816 is an abundant number, since it is smaller than the sum of its proper divisors (377648272).

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

158106816 is an equidigital number, since it uses as much as digits as its factorization.

158106816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 158106816 is about 12574.0532844425. The cubic root of 158106816 is about 540.7338171638.

The spelling of 158106816 in words is "one hundred fifty-eight million, one hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4357 4536 5184 6048 8714 9072 12096 13071 17428 18144 26142 30499 34856 36288 39213 52284 60998 69712 78426 91497 104568 117639 121996 139424 156852 182994 209136 235278 243992 274491 278848 313704 352917 365988 418272 470556 487984 548982 627408 705834 731976 823473 836544 941112 975968 1097964 1254816 1411668 1463952 1646946 1882224 1951936 2195928 2470419 2509632 2823336 2927904 3293892 3764448 4391856 4940838 5646672 5855808 6587784 7528896 8783712 9881676 11293344 13175568 17567424 19763352 22586688 26351136 39526704 52702272 79053408 158106816