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152063568 = 243613037
BaseRepresentation
bin10010001000001…
…00111001010000
3101121010122000000
421010010321100
5302412013233
623031130000
73524343006
oct1104047120
9347118000
10152063568
1178921678
1242b13900
1325672257
14162a4a76
15d53ad13
hex9104e50

152063568 has 70 divisors (see below), whose sum is σ = 441766554. Its totient is φ = 50683968.

The previous prime is 152063563. The next prime is 152063573. The reversal of 152063568 is 865360251.

152063568 is a `hidden beast` number, since 15 + 2 + 0 + 635 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (152063563) and next prime (152063573).

It can be written as a sum of positive squares in only one way, i.e., 138579984 + 13483584 = 11772^2 + 3672^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152063563) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5146 + ... + 18182.

Almost surely, 2152063568 is an apocalyptic number.

152063568 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 152063568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220883277).

152063568 is an abundant number, since it is smaller than the sum of its proper divisors (289702986).

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

152063568 is an equidigital number, since it uses as much as digits as its factorization.

152063568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13063 (or 13042 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 152063568 is about 12331.4057592798. The cubic root of 152063568 is about 533.7547162861.

The spelling of 152063568 in words is "one hundred fifty-two million, sixty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 13037 26074 39111 52148 78222 104296 117333 156444 208592 234666 312888 351999 469332 625776 703998 938664 1055997 1407996 1877328 2111994 2815992 3167991 4223988 5631984 6335982 8447976 9503973 12671964 16895952 19007946 25343928 38015892 50687856 76031784 152063568