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149370480 = 2434573789
BaseRepresentation
bin10001110011100…
…11011001110000
3101102001210210000
420321303121300
5301214323410
622453310000
73462425310
oct1071633160
9342053700
10149370480
1177352286
1242035300
1324c3b4cc
1415ba3440
15d1a7dc0
hex8e73670

149370480 has 400 divisors, whose sum is σ = 615764160. Its totient is φ = 32845824.

The previous prime is 149370479. The next prime is 149370499. The reversal of 149370480 is 84073941.

It is a happy number.

149370480 is a `hidden beast` number, since 149 + 37 + 0 + 480 = 666.

149370480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1678276 + ... + 1678364.

Almost surely, 2149370480 is an apocalyptic number.

149370480 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 149370480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307882080).

149370480 is an abundant number, since it is smaller than the sum of its proper divisors (466393680).

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

149370480 is a wasteful number, since it uses less digits than its factorization.

149370480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 149370480 is about 12221.7216463148. The cubic root of 149370480 is about 530.5849480938.

The spelling of 149370480 in words is "one hundred forty-nine million, three hundred seventy thousand, four hundred eighty".