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149320400 = 2452373301
BaseRepresentation
bin10001110011001…
…11001011010000
3101101222021002012
420321213023100
5301211223100
622452242052
73462126305
oct1071471320
9341867065
10149320400
1177318699
1242010328
1324c21788
1415b8d0ac
15d198135
hex8e672d0

149320400 has 30 divisors (see below), whose sum is σ = 358743222. Its totient is φ = 59728000.

The previous prime is 149320399. The next prime is 149320417. The reversal of 149320400 is 4023941.

149320400 is digitally balanced in base 3, because in such base 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 29724304 + 119596096 = 5452^2 + 10936^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 186251 + ... + 187050.

Almost surely, 2149320400 is an apocalyptic number.

149320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149320400 is an abundant number, since it is smaller than the sum of its proper divisors (209422822).

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

149320400 is a wasteful number, since it uses less digits than its factorization.

149320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373319 (or 373308 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 149320400 is about 12219.6726633736. The cubic root of 149320400 is about 530.5256443984.

The spelling of 149320400 in words is "one hundred forty-nine million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 373301 746602 1493204 1866505 2986408 3733010 5972816 7466020 9332525 14932040 18665050 29864080 37330100 74660200 149320400