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149351680 = 285116681
BaseRepresentation
bin10001110011011…
…10110100000000
3101102000211222201
420321232310000
5301213223210
622453042544
73462316432
oct1071566400
9342024881
10149351680
117733a145
1242026454
1324c32a9a
1415b9a652
15d1a253a
hex8e6ed00

149351680 has 36 divisors (see below), whose sum is σ = 357747012. Its totient is φ = 59740160.

The previous prime is 149351677. The next prime is 149351687. The reversal of 149351680 is 86153941.

149351680 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 2 ways, for example, as 112190464 + 37161216 = 10592^2 + 6096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149351687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57061 + ... + 59620.

It is an arithmetic number, because the mean of its divisors is an integer number (9937417).

Almost surely, 2149351680 is an apocalyptic number.

149351680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149351680 is an abundant number, since it is smaller than the sum of its proper divisors (208395332).

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

149351680 is an equidigital number, since it uses as much as digits as its factorization.

149351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116702 (or 116688 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 149351680 is about 12220.9524997031. The cubic root of 149351680 is about 530.5626870787.

The spelling of 149351680 in words is "one hundred forty-nine million, three hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 116681 233362 466724 583405 933448 1166810 1866896 2333620 3733792 4667240 7467584 9334480 14935168 18668960 29870336 37337920 74675840 149351680