Search a number
-
+
158670864 = 243211109919
BaseRepresentation
bin10010111010100…
…10000000010000
3102001120022111200
421131102000100
5311104431424
623424511200
73634452162
oct1135220020
9361508450
10158670864
1181624850
124517b500
1326b467b1
1417104932
15dde38c9
hex9752010

158670864 has 120 divisors (see below), whose sum is σ = 489403200. Its totient is φ = 47589120.

The previous prime is 158670839. The next prime is 158670887. The reversal of 158670864 is 468076851.

It is a happy number.

158670864 is a `hidden beast` number, since 1 + 586 + 7 + 0 + 8 + 64 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172197 + ... + 173115.

It is an arithmetic number, because the mean of its divisors is an integer number (4078360).

Almost surely, 2158670864 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 158670864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244701600).

158670864 is an abundant number, since it is smaller than the sum of its proper divisors (330732336).

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

158670864 is a wasteful number, since it uses less digits than its factorization.

158670864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 158670864 is about 12596.4623605201. The cubic root of 158670864 is about 541.3760788450.

The spelling of 158670864 in words is "one hundred fifty-eight million, six hundred seventy thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 109 132 144 176 198 218 264 327 396 436 528 654 792 872 919 981 1199 1308 1584 1744 1838 1962 2398 2616 2757 3597 3676 3924 4796 5232 5514 7194 7352 7848 8271 9592 10109 10791 11028 14388 14704 15696 16542 19184 20218 21582 22056 28776 30327 33084 40436 43164 44112 57552 60654 66168 80872 86328 90981 100171 121308 132336 161744 172656 181962 200342 242616 300513 363924 400684 485232 601026 727848 801368 901539 1101881 1202052 1455696 1602736 1803078 2203762 2404104 3305643 3606156 4407524 4808208 6611286 7212312 8815048 9916929 13222572 14424624 17630096 19833858 26445144 39667716 52890288 79335432 158670864