Search a number
-
+
152163968 = 2711671613
BaseRepresentation
bin10010001000111…
…01011010000000
3101121022201201112
421010131122000
5302423221333
623033222452
73525241505
oct1104353200
9347281645
10152163968
1178990050
1242b61a28
13256a8b68
14162cd4ac
15d55a948
hex911d680

152163968 has 64 divisors (see below), whose sum is σ = 335841120. Its totient is φ = 68090880.

The previous prime is 152163961. The next prime is 152164013. The reversal of 152163968 is 869361251.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (152163961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93530 + ... + 95142.

Almost surely, 2152163968 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 152163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167920560).

152163968 is an abundant number, since it is smaller than the sum of its proper divisors (183677152).

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

152163968 is a wasteful number, since it uses less digits than its factorization.

152163968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1693 counting only the distinct ones).

The product of its digits is 77760, while the sum is 41.

The square root of 152163968 is about 12335.4759940588. The cubic root of 152163968 is about 533.8721609936.

The spelling of 152163968 in words is "one hundred fifty-two million, one hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 268 352 536 704 737 1072 1408 1474 1613 2144 2948 3226 4288 5896 6452 8576 11792 12904 17743 23584 25808 35486 47168 51616 70972 94336 103232 108071 141944 206464 216142 283888 432284 567776 864568 1135552 1188781 1729136 2271104 2377562 3458272 4755124 6916544 9510248 13833088 19020496 38040992 76081984 152163968