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149022720 = 2113357211
BaseRepresentation
bin10001110000111…
…10100000000000
3101101102010202000
420320132200000
5301122211340
622442024000
73456446400
oct1070364000
9341363660
10149022720
1177134a80
1241aa8000
1324b49132
1415b12800
15d139d30
hex8e1e800

149022720 has 576 divisors, whose sum is σ = 672235200. Its totient is φ = 30965760.

The previous prime is 149022683. The next prime is 149022721. The reversal of 149022720 is 27220941.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149022721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13547515 + ... + 13547525.

It is an arithmetic number, because the mean of its divisors is an integer number (1167075).

Almost surely, 2149022720 is an apocalyptic number.

149022720 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 149022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336117600).

149022720 is an abundant number, since it is smaller than the sum of its proper divisors (523212480).

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

149022720 is a wasteful number, since it uses less digits than its factorization.

149022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 149022720 is about 12207.4862277211. The cubic root of 149022720 is about 530.1728639878.

149022720 divided by its product of nonzero digits (2016) gives a triangular number (73920 = T384).

The spelling of 149022720 in words is "one hundred forty-nine million, twenty-two thousand, seven hundred twenty".