Search a number
-
+
159008772 = 223131397333
BaseRepresentation
bin10010111101001…
…00100000000100
3102002012111000210
421132210200010
5311201240042
623440035420
73640360266
oct1136444004
9362174023
10159008772
118183570a
1245302b70
1326c34540
1417191b36
15de5da9c
hex97a4804

159008772 has 48 divisors (see below), whose sum is σ = 402489920. Its totient is φ = 48567168.

The previous prime is 159008771. The next prime is 159008789. The reversal of 159008772 is 277800951.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 159008772.

It is not an unprimeable number, because it can be changed into a prime (159008771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18018 + ... + 25350.

Almost surely, 2159008772 is an apocalyptic number.

159008772 is a gapful number since it is divisible by the number (12) 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 159008772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201244960).

159008772 is an abundant number, since it is smaller than the sum of its proper divisors (243481148).

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

159008772 is a wasteful number, since it uses less digits than its factorization.

159008772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7492 (or 7490 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 159008772 is about 12609.8680405467. The cubic root of 159008772 is about 541.7601140657.

The spelling of 159008772 in words is "one hundred fifty-nine million, eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 139 156 278 417 556 834 1668 1807 3614 5421 7228 7333 10842 14666 21684 21999 29332 43998 87996 95329 190658 285987 381316 571974 1019287 1143948 2038574 3057861 4077148 6115722 12231444 13250731 26501462 39752193 53002924 79504386 159008772