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149024096 = 25133371063
BaseRepresentation
bin10001110000111…
…10110101100000
3101101102012121222
420320132311200
5301122232341
622442034212
73456453404
oct1070366540
9341365558
10149024096
1177136011
1241aa8968
1324b49950
1415b13104
15d13a44b
hex8e1ed60

149024096 has 48 divisors (see below), whose sum is σ = 317195424. Its totient is φ = 68511744.

The previous prime is 149024089. The next prime is 149024119. The reversal of 149024096 is 690420941.

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 7 ways as a sum of consecutive naturals, for example, 139661 + ... + 140723.

It is an arithmetic number, because the mean of its divisors is an integer number (6608238).

Almost surely, 2149024096 is an apocalyptic number.

149024096 is a gapful number since it is divisible by the number (16) 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 149024096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158597712).

149024096 is an abundant number, since it is smaller than the sum of its proper divisors (168171328).

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

149024096 is a wasteful number, since it uses less digits than its factorization.

149024096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 149024096 is about 12207.5425864504. The cubic root of 149024096 is about 530.1744957650.

The spelling of 149024096 in words is "one hundred forty-nine million, twenty-four thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 337 416 674 1063 1348 2126 2696 4252 4381 5392 8504 8762 10784 13819 17008 17524 27638 34016 35048 55276 70096 110552 140192 221104 358231 442208 716462 1432924 2865848 4657003 5731696 9314006 11463392 18628012 37256024 74512048 149024096