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149313780 = 22365721119
BaseRepresentation
bin10001110011001…
…01100011110100
3101101221221000000
420321211203310
5301211020110
622452151300
73462101100
oct1071454364
9341857000
10149313780
1177313720
1242008530
1324c1b765
1415b8a900
15d1961c0
hex8e658f4

149313780 has 504 divisors, whose sum is σ = 627994080. Its totient is φ = 29393280.

The previous prime is 149313757. The next prime is 149313809. The reversal of 149313780 is 87313941.

It is a happy number.

149313780 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 167 ways as a sum of consecutive naturals, for example, 7858611 + ... + 7858629.

It is an arithmetic number, because the mean of its divisors is an integer number (1246020).

Almost surely, 2149313780 is an apocalyptic number.

149313780 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 149313780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313997040).

149313780 is an abundant number, since it is smaller than the sum of its proper divisors (478680300).

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

149313780 is a wasteful number, since it uses less digits than its factorization.

149313780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 149313780 is about 12219.4017856849. The cubic root of 149313780 is about 530.5178041398.

The spelling of 149313780 in words is "one hundred forty-nine million, three hundred thirteen thousand, seven hundred eighty".