Search a number
-
+
152331630 = 23511463997
BaseRepresentation
bin10010001010001…
…10010101101110
3101121122020201020
421011012111232
5302444103010
623040555010
73526540353
oct1105062556
9347566636
10152331630
1178a95010
1243022a66
1325737279
141633462a
15d590470
hex914656e

152331630 has 64 divisors (see below), whose sum is σ = 400094208. Its totient is φ = 36812160.

The previous prime is 152331623. The next prime is 152331631. The reversal of 152331630 is 36133251.

It is a happy number.

152331630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 152331630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152331631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152292 + ... + 153288.

It is an arithmetic number, because the mean of its divisors is an integer number (6251472).

Almost surely, 2152331630 is an apocalyptic number.

152331630 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 152331630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200047104).

152331630 is an abundant number, since it is smaller than the sum of its proper divisors (247762578).

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

152331630 is a wasteful number, since it uses less digits than its factorization.

152331630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 152331630 is about 12342.2700505215. The cubic root of 152331630 is about 534.0681715209.

Adding to 152331630 its reverse (36133251), we get a palindrome (188464881).

It can be divided in two parts, 1523 and 31630, that added together give a triangular number (33153 = T257).

The spelling of 152331630 in words is "one hundred fifty-two million, three hundred thirty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 463 926 997 1389 1994 2315 2778 2991 4630 4985 5093 5982 6945 9970 10186 10967 13890 14955 15279 21934 25465 29910 30558 32901 50930 54835 65802 76395 109670 152790 164505 329010 461611 923222 1384833 2308055 2769666 4616110 5077721 6924165 10155442 13848330 15233163 25388605 30466326 50777210 76165815 152331630