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149349120 = 2835192389
BaseRepresentation
bin10001110011011…
…10001100000000
3101102000201110220
420321232030000
5301213132440
622453023040
73462306114
oct1071561400
9342021426
10149349120
1177338228
1242024a80
1324c3187b
1415b99744
15d1a18d0
hex8e6e300

149349120 has 288 divisors, whose sum is σ = 529804800. Its totient is φ = 35684352.

The previous prime is 149349113. The next prime is 149349133. The reversal of 149349120 is 21943941.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1678036 + ... + 1678124.

It is an arithmetic number, because the mean of its divisors is an integer number (1839600).

Almost surely, 2149349120 is an apocalyptic number.

149349120 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 149349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264902400).

149349120 is an abundant number, since it is smaller than the sum of its proper divisors (380455680).

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

149349120 is a wasteful number, since it uses less digits than its factorization.

149349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 149349120 is about 12220.8477611007. The cubic root of 149349120 is about 530.5596556470.

The spelling of 149349120 in words is "one hundred forty-nine million, three hundred forty-nine thousand, one hundred twenty".