Search a number
-
+
154152960 = 2123513193
BaseRepresentation
bin10010011000000…
…11000000000000
3101202001210002220
421030003000000
5303430343320
623144011040
73551164353
oct1114030000
9352053086
10154152960
117a019445
1243760a80
1325c24290
141668a29a
15d7eee40
hex9303000

154152960 has 208 divisors, whose sum is σ = 533922144. Its totient is φ = 37748736.

The previous prime is 154152941. The next prime is 154152961. The reversal of 154152960 is 69251451.

It is a tau number, because it is divible by the number of its divisors (208).

It is not an unprimeable number, because it can be changed into a prime (154152961) 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, 798624 + ... + 798816.

Almost surely, 2154152960 is an apocalyptic number.

154152960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266961072).

154152960 is an abundant number, since it is smaller than the sum of its proper divisors (379769184).

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

154152960 is a wasteful number, since it uses less digits than its factorization.

154152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 154152960 is about 12415.8350504507. The cubic root of 154152960 is about 536.1882460497.

The spelling of 154152960 in words is "one hundred fifty-four million, one hundred fifty-two thousand, nine hundred sixty".