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149130828 = 223371179227
BaseRepresentation
bin10001110001110…
…00111001001100
3101101121122001000
420320320321030
5301134141303
622444220300
73460406520
oct1070707114
9341548030
10149130828
11771a9220
1241b3a690
1324b863c2
1415b3dd80
15d15bda3
hex8e38e4c

149130828 has 192 divisors, whose sum is σ = 490291200. Its totient is φ = 38076480.

The previous prime is 149130823. The next prime is 149130853. The reversal of 149130828 is 828031941.

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

It is a junction number, because it is equal to n+sod(n) for n = 149130792 and 149130801.

It is not an unprimeable number, because it can be changed into a prime (149130823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 656851 + ... + 657077.

It is an arithmetic number, because the mean of its divisors is an integer number (2553600).

Almost surely, 2149130828 is an apocalyptic number.

149130828 is a gapful number since it is divisible by the number (18) 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 149130828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245145600).

149130828 is an abundant number, since it is smaller than the sum of its proper divisors (341160372).

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

149130828 is a wasteful number, since it uses less digits than its factorization.

149130828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 149130828 is about 12211.9133635970. The cubic root of 149130828 is about 530.3010370021.

The spelling of 149130828 in words is "one hundred forty-nine million, one hundred thirty thousand, eight hundred twenty-eight".