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149670900 = 223252166301
BaseRepresentation
bin10001110101111…
…00101111110100
3101102122001212200
420322330233310
5301303432100
622503544500
73465116211
oct1072745764
9342561780
10149670900
1177537a65
124215b130
1325015182
1415c40b08
15d216e00
hex8ebcbf4

149670900 has 54 divisors (see below), whose sum is σ = 469137942. Its totient is φ = 39912000.

The previous prime is 149670893. The next prime is 149670901. The reversal of 149670900 is 9076941.

149670900 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 144 + 149670756 = 12^2 + 12234^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

149670900 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149670901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82251 + ... + 84050.

Almost surely, 2149670900 is an apocalyptic number.

149670900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149670900 is an abundant number, since it is smaller than the sum of its proper divisors (319467042).

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

149670900 is a wasteful number, since it uses less digits than its factorization.

149670900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166321 (or 166311 counting only the distinct ones).

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

The square root of 149670900 is about 12234.0058852364. The cubic root of 149670900 is about 530.9404212470.

The spelling of 149670900 in words is "one hundred forty-nine million, six hundred seventy thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 166301 332602 498903 665204 831505 997806 1496709 1663010 1995612 2494515 2993418 3326020 4157525 4989030 5986836 7483545 8315050 9978060 12472575 14967090 16630100 24945150 29934180 37417725 49890300 74835450 149670900