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149009760 = 25335172029
BaseRepresentation
bin10001110000110…
…11010101100000
3101101101110222000
420320123111200
5301121303020
622441444000
73456363534
oct1070332540
9341343860
10149009760
1177126269
1241aa0600
1324b43273
1415b0bbc4
15d136090
hex8e1b560

149009760 has 192 divisors, whose sum is σ = 552484800. Its totient is φ = 37380096.

The previous prime is 149009753. The next prime is 149009779. The reversal of 149009760 is 67900941.

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 31 ways as a sum of consecutive naturals, for example, 72426 + ... + 74454.

It is an arithmetic number, because the mean of its divisors is an integer number (2877525).

Almost surely, 2149009760 is an apocalyptic number.

149009760 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 149009760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276242400).

149009760 is an abundant number, since it is smaller than the sum of its proper divisors (403475040).

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

149009760 is a wasteful number, since it uses less digits than its factorization.

149009760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 149009760 is about 12206.9553943643. The cubic root of 149009760 is about 530.1574944309.

It can be divided in two parts, 149009 and 760, that added together give a square (149769 = 3872).

The spelling of 149009760 in words is "one hundred forty-nine million, nine thousand, seven hundred sixty".