Search a number
-
+
152515128 = 23319615483
BaseRepresentation
bin10010001011100…
…11001000111000
3101121222120102110
421011303020320
5303020441003
623044532320
73531233343
oct1105631070
9347876373
10152515128
11790aa967
12430b10a0
132579c94c
141638145a
15d5c9a03
hex9173238

152515128 has 64 divisors (see below), whose sum is σ = 408009600. Its totient is φ = 47364480.

The previous prime is 152515127. The next prime is 152515183. The reversal of 152515128 is 821515251.

It is a junction number, because it is equal to n+sod(n) for n = 152515095 and 152515104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152515123) 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, 25075 + ... + 30557.

It is an arithmetic number, because the mean of its divisors is an integer number (6375150).

Almost surely, 2152515128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152515128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204004800).

152515128 is an abundant number, since it is smaller than the sum of its proper divisors (255494472).

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

152515128 is a wasteful number, since it uses less digits than its factorization.

152515128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5572 (or 5568 counting only the distinct ones).

The product of its digits is 4000, while the sum is 30.

The square root of 152515128 is about 12349.7015348550. The cubic root of 152515128 is about 534.2825308485.

It can be divided in two parts, 1525 and 15128, that added together give a triangular number (16653 = T182).

The spelling of 152515128 in words is "one hundred fifty-two million, five hundred fifteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 61 76 114 122 152 183 228 244 366 456 488 732 1159 1464 2318 3477 4636 5483 6954 9272 10966 13908 16449 21932 27816 32898 43864 65796 104177 131592 208354 312531 334463 416708 625062 668926 833416 1003389 1250124 1337852 2006778 2500248 2675704 4013556 6354797 8027112 12709594 19064391 25419188 38128782 50838376 76257564 152515128