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149365872 = 24325319571
BaseRepresentation
bin10001110011100…
…10010001110000
3101102001120110100
420321302101300
5301214201442
622453232400
73462406005
oct1071622160
9342046410
10149365872
1177349877
1242032700
1324c39396
1415ba18ac
15d1a684c
hex8e72470

149365872 has 60 divisors (see below), whose sum is σ = 425925864. Its totient is φ = 48846720.

The previous prime is 149365823. The next prime is 149365873. The reversal of 149365872 is 278563941.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149365873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2154 + ... + 17417.

Almost surely, 2149365872 is an apocalyptic number.

149365872 is a gapful number since it is divisible by the number (12) 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 149365872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212962932).

149365872 is an abundant number, since it is smaller than the sum of its proper divisors (276559992).

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

149365872 is a wasteful number, since it uses less digits than its factorization.

149365872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19638 (or 19629 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 149365872 is about 12221.5331280490. The cubic root of 149365872 is about 530.5794919497.

The spelling of 149365872 in words is "one hundred forty-nine million, three hundred sixty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 19571 39142 58713 78284 117426 156568 176139 234852 313136 352278 469704 704556 939408 1037263 1409112 2074526 2818224 3111789 4149052 6223578 8298104 9335367 12447156 16596208 18670734 24894312 37341468 49788624 74682936 149365872