Search a number
-
+
158107968 = 26321914447
BaseRepresentation
bin10010110110010…
…00100101000000
3102000111201100200
421123020211000
5310433423333
623404445200
73626616114
oct1133104500
9360451320
10158107968
118127a947
1244b49800
13269aa515
1416dd9744
15dd31c13
hex96c8940

158107968 has 84 divisors (see below), whose sum is σ = 477072960. Its totient is φ = 49925376.

The previous prime is 158107951. The next prime is 158107969. The reversal of 158107968 is 869701851.

158107968 is a `hidden beast` number, since 1 + 581 + 0 + 7 + 9 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158107969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3721 + ... + 18167.

It is an arithmetic number, because the mean of its divisors is an integer number (5679440).

Almost surely, 2158107968 is an apocalyptic number.

158107968 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 158107968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238536480).

158107968 is an abundant number, since it is smaller than the sum of its proper divisors (318964992).

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

158107968 is a wasteful number, since it uses less digits than its factorization.

158107968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14484 (or 14471 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 158107968 is about 12574.0990929768. The cubic root of 158107968 is about 540.7351304613.

The spelling of 158107968 in words is "one hundred fifty-eight million, one hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 14447 28894 43341 57788 86682 115576 130023 173364 231152 260046 274493 346728 462304 520092 548986 693456 823479 924608 1040184 1097972 1386912 1646958 2080368 2195944 2470437 2773824 3293916 4160736 4391888 4940874 6587832 8321472 8783776 9881748 13175664 17567552 19763496 26351328 39526992 52702656 79053984 158107968