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158035968 = 212331429
BaseRepresentation
bin10010110101101…
…11000000000000
3102000101001121000
421122313000000
5310424122333
623403132000
73626166156
oct1132670000
9360331530
10158035968
1181230842
1244b14000
132698380c
1416dbb3d6
15dd1a713
hex96b7000

158035968 has 104 divisors (see below), whose sum is σ = 468525200. Its totient is φ = 52641792.

The previous prime is 158035951. The next prime is 158036003. The reversal of 158035968 is 869530851.

158035968 is a `hidden beast` number, since 1 + 58 + 0 + 3 + 596 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109878 + ... + 111306.

It is an arithmetic number, because the mean of its divisors is an integer number (4505050).

Almost surely, 2158035968 is an apocalyptic number.

158035968 is a gapful number since it is divisible by the number (18) 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 158035968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234262600).

158035968 is an abundant number, since it is smaller than the sum of its proper divisors (310489232).

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

158035968 is an equidigital number, since it uses as much as digits as its factorization.

158035968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 158035968 is about 12571.2357387808. The cubic root of 158035968 is about 540.6530371061.

The spelling of 158035968 in words is "one hundred fifty-eight million, thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1429 1536 1728 2048 2304 2858 3072 3456 4096 4287 4608 5716 6144 6912 8574 9216 11432 12288 12861 13824 17148 18432 22864 25722 27648 34296 36864 38583 45728 51444 55296 68592 77166 91456 102888 110592 137184 154332 182912 205776 274368 308664 365824 411552 548736 617328 731648 823104 1097472 1234656 1463296 1646208 2194944 2469312 2926592 3292416 4389888 4938624 5853184 6584832 8779776 9877248 13169664 17559552 19754496 26339328 39508992 52678656 79017984 158035968