Search a number
-
+
150462900 = 223352719419
BaseRepresentation
bin10001111011111…
…10000110110100
3101111010022022000
420331332012310
5302004303100
622532535300
73504625230
oct1075760664
9344108260
10150462900
1177a29005
1242481530
1325231803
1415da95c0
15d321900
hex8f7e1b4

150462900 has 288 divisors, whose sum is σ = 583296000. Its totient is φ = 32503680.

The previous prime is 150462899. The next prime is 150462901. The reversal of 150462900 is 9264051.

It is an interprime number because it is at equal distance from previous prime (150462899) and next prime (150462901).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150462901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 358891 + ... + 359309.

Almost surely, 2150462900 is an apocalyptic number.

150462900 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 150462900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291648000).

150462900 is an abundant number, since it is smaller than the sum of its proper divisors (432833100).

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

150462900 is a wasteful number, since it uses less digits than its factorization.

150462900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 150462900 is about 12266.3319700716. The cubic root of 150462900 is about 531.8752840485.

The spelling of 150462900 in words is "one hundred fifty million, four hundred sixty-two thousand, nine hundred".