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149754304 = 2673141263
BaseRepresentation
bin10001110110100…
…01000111000000
3101102210022021201
420323101013000
5301314114204
622505430544
73465614320
oct1073210700
9342708251
10149754304
1177594697
124219b454
132504411b
1415c63280
15d2319a4
hex8ed11c0

149754304 has 112 divisors (see below), whose sum is σ = 360493056. Its totient is φ = 60364800.

The previous prime is 149754299. The next prime is 149754307. The reversal of 149754304 is 403457941.

149754304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149754307) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 569277 + ... + 569539.

It is an arithmetic number, because the mean of its divisors is an integer number (3218688).

Almost surely, 2149754304 is an apocalyptic number.

149754304 is a gapful number since it is divisible by the number (14) 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 149754304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180246528).

149754304 is an abundant number, since it is smaller than the sum of its proper divisors (210738752).

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

149754304 is a wasteful number, since it uses less digits than its factorization.

149754304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 149754304 is about 12237.4141059294. The cubic root of 149754304 is about 531.0390249879.

The spelling of 149754304 in words is "one hundred forty-nine million, seven hundred fifty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 41 56 62 64 82 112 124 164 217 224 248 263 287 328 434 448 496 526 574 656 868 992 1052 1148 1271 1312 1736 1841 1984 2104 2296 2542 2624 3472 3682 4208 4592 5084 6944 7364 8153 8416 8897 9184 10168 10783 13888 14728 16306 16832 17794 18368 20336 21566 29456 32612 35588 40672 43132 57071 58912 65224 71176 75481 81344 86264 114142 117824 130448 142352 150962 172528 228284 260896 284704 301924 334273 345056 456568 521792 569408 603848 668546 690112 913136 1207696 1337092 1826272 2339911 2415392 2674184 3652544 4679822 4830784 5348368 9359644 10696736 18719288 21393472 37438576 74877152 149754304