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149667840 = 214325729
BaseRepresentation
bin10001110101111…
…00000000000000
3101102121220200100
420322330000000
5301303332330
622503522400
73465104250
oct1072740000
9342556610
10149667840
1177535733
1242159400
132501396a
1415c3d960
15d216060
hex8ebc000

149667840 has 360 divisors, whose sum is σ = 613398240. Its totient is φ = 33030144.

The previous prime is 149667827. The next prime is 149667851. The reversal of 149667840 is 48766941.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5160946 + ... + 5160974.

It is an arithmetic number, because the mean of its divisors is an integer number (1703884).

Almost surely, 2149667840 is an apocalyptic number.

149667840 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 149667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306699120).

149667840 is an abundant number, since it is smaller than the sum of its proper divisors (463730400).

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

149667840 is an equidigital number, since it uses as much as digits as its factorization.

149667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 149667840 is about 12233.8808233528. The cubic root of 149667840 is about 530.9368028888.

The spelling of 149667840 in words is "one hundred forty-nine million, six hundred sixty-seven thousand, eight hundred forty".