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149211720 = 2336571743
BaseRepresentation
bin10001110010011…
…00101001001000
3101101202202000000
420321030221020
5301144233340
622450043000
73461164410
oct1071145110
9341682000
10149211720
1177253a79
1241b79460
1324bb4178
1415b61640
15d175d30
hex8e4ca48

149211720 has 448 divisors, whose sum is σ = 623272320. Its totient is φ = 31352832.

The previous prime is 149211697. The next prime is 149211739. The reversal of 149211720 is 27112941.

149211720 is a `hidden beast` number, since 1 + 492 + 1 + 172 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3470019 + ... + 3470061.

Almost surely, 2149211720 is an apocalyptic number.

149211720 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 149211720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311636160).

149211720 is an abundant number, since it is smaller than the sum of its proper divisors (474060600).

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

149211720 is a wasteful number, since it uses less digits than its factorization.

149211720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 149211720 is about 12215.2249262959. The cubic root of 149211720 is about 530.3969021747.

It can be divided in two parts, 14921 and 1720, that added together give a square (16641 = 1292).

The spelling of 149211720 in words is "one hundred forty-nine million, two hundred eleven thousand, seven hundred twenty".