Search a number
-
+
152230032 = 24324792207
BaseRepresentation
bin10010001001011…
…01100010010000
3101121110002100100
421010231202100
5302432330112
623034452400
73525635223
oct1104554220
9347402310
10152230032
1178a25749
1242b94100
13256ccc56
14163095ba
15d5702dc
hex912d890

152230032 has 60 divisors (see below), whose sum is σ = 427115520. Its totient is φ = 50614464.

The previous prime is 152230027. The next prime is 152230049. The reversal of 152230032 is 230032251.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 152229987 and 152230014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67873 + ... + 70079.

It is an arithmetic number, because the mean of its divisors is an integer number (7118592).

Almost surely, 2152230032 is an apocalyptic number.

152230032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152230032 is an abundant number, since it is smaller than the sum of its proper divisors (274885488).

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

152230032 is a wasteful number, since it uses less digits than its factorization.

152230032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 152230032 is about 12338.1535085279. The cubic root of 152230032 is about 533.9494123689.

Adding to 152230032 its reverse (230032251), we get a palindrome (382262283).

The spelling of 152230032 in words is "one hundred fifty-two million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 479 958 1437 1916 2207 2874 3832 4311 4414 5748 6621 7664 8622 8828 11496 13242 17244 17656 19863 22992 26484 34488 35312 39726 52968 68976 79452 105936 158904 317808 1057153 2114306 3171459 4228612 6342918 8457224 9514377 12685836 16914448 19028754 25371672 38057508 50743344 76115016 152230032