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149130240 = 2103571973
BaseRepresentation
bin10001110001110…
…00110000000000
3101101121121020020
420320320300000
5301134131430
622444213440
73460405020
oct1070706000
9341547206
10149130240
11771a8836
1241b3a280
1324b8605c
1415b3da80
15d15bb10
hex8e38c00

149130240 has 352 divisors, whose sum is σ = 581675520. Its totient is φ = 31850496.

The previous prime is 149130199. The next prime is 149130253. The reversal of 149130240 is 42031941.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 149130240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2042844 + ... + 2042916.

Almost surely, 2149130240 is an apocalyptic number.

149130240 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 149130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290837760).

149130240 is an abundant number, since it is smaller than the sum of its proper divisors (432545280).

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

149130240 is a wasteful number, since it uses less digits than its factorization.

149130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 149130240 is about 12211.8892887219. The cubic root of 149130240 is about 530.3003400360.

The spelling of 149130240 in words is "one hundred forty-nine million, one hundred thirty thousand, two hundred forty".