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152618130 = 232571571543
BaseRepresentation
bin10010001100011…
…00010010010010
3101122011210201100
421012030102102
5303032240010
623051045230
73532142550
oct1106142222
9348153640
10152618130
1179170295
1243140816
13258077b2
14163aabd0
15d5ea2c0
hex918c492

152618130 has 96 divisors (see below), whose sum is σ = 456678144. Its totient is φ = 34639488.

The previous prime is 152618069. The next prime is 152618189. The reversal of 152618130 is 31816251.

152618130 is a `hidden beast` number, since 1 + 526 + 1 + 8 + 130 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 152618094 and 152618103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98139 + ... + 99681.

It is an arithmetic number, because the mean of its divisors is an integer number (4757064).

Almost surely, 2152618130 is an apocalyptic number.

152618130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152618130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228339072).

152618130 is an abundant number, since it is smaller than the sum of its proper divisors (304060014).

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

152618130 is a wasteful number, since it uses less digits than its factorization.

152618130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 152618130 is about 12353.8710532367. The cubic root of 152618130 is about 534.4027807451.

The spelling of 152618130 in words is "one hundred fifty-two million, six hundred eighteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 157 210 314 315 471 630 785 942 1099 1413 1543 1570 2198 2355 2826 3086 3297 4629 4710 5495 6594 7065 7715 9258 9891 10801 10990 13887 14130 15430 16485 19782 21602 23145 27774 32403 32970 46290 49455 54005 64806 69435 97209 98910 108010 138870 162015 194418 242251 324030 484502 486045 726753 972090 1211255 1453506 1695757 2180259 2422510 3391514 3633765 4360518 5087271 7267530 8478785 10174542 10901295 15261813 16957570 21802590 25436355 30523626 50872710 76309065 152618130