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149253800 = 23526611129
BaseRepresentation
bin10001110010101…
…10111010101000
3101101211212201112
420321112322220
5301202110200
622451005452
73461431163
oct1071267250
9341755645
10149253800
1177282653
1241b99888
1324bca377
1415b72ada
15d183535
hex8e56ea8

149253800 has 48 divisors (see below), whose sum is σ = 347847900. Its totient is φ = 59558400.

The previous prime is 149253791. The next prime is 149253833. The reversal of 149253800 is 8352941.

149253800 is digitally balanced in base 2, 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 6 ways, for example, as 41550916 + 107702884 = 6446^2 + 10378^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131636 + ... + 132764.

Almost surely, 2149253800 is an apocalyptic number.

149253800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149253800 is an abundant number, since it is smaller than the sum of its proper divisors (198594100).

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

149253800 is a wasteful number, since it uses less digits than its factorization.

149253800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 149253800 is about 12216.9472455274. The cubic root of 149253800 is about 530.4467575164.

The spelling of 149253800 in words is "one hundred forty-nine million, two hundred fifty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 661 1129 1322 2258 2644 3305 4516 5288 5645 6610 9032 11290 13220 16525 22580 26440 28225 33050 45160 56450 66100 112900 132200 225800 746269 1492538 2985076 3731345 5970152 7462690 14925380 18656725 29850760 37313450 74626900 149253800