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149329068 = 223722291109
BaseRepresentation
bin10001110011010…
…01010010101100
3101101222200222020
420321221102230
5301212012233
622452350140
73462163500
oct1071512254
9341880866
10149329068
1177324159
1242015350
1324c256c5
1415b92300
15d19a9b3
hex8e694ac

149329068 has 72 divisors (see below), whose sum is σ = 407458800. Its totient is φ = 42440832.

The previous prime is 149329057. The next prime is 149329069. The reversal of 149329068 is 860923941.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149329069) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 134098 + ... + 135206.

It is an arithmetic number, because the mean of its divisors is an integer number (5659150).

Almost surely, 2149329068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149329068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203729400).

149329068 is an abundant number, since it is smaller than the sum of its proper divisors (258129732).

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

149329068 is a wasteful number, since it uses less digits than its factorization.

149329068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 149329068 is about 12220.0273322117. The cubic root of 149329068 is about 530.5359098127.

The spelling of 149329068 in words is "one hundred forty-nine million, three hundred twenty-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 229 294 458 588 687 916 1109 1374 1603 2218 2748 3206 3327 4436 4809 6412 6654 7763 9618 11221 13308 15526 19236 22442 23289 31052 33663 44884 46578 54341 67326 93156 108682 134652 163023 217364 253961 326046 507922 652092 761883 1015844 1523766 1777727 3047532 3555454 5333181 7110908 10666362 12444089 21332724 24888178 37332267 49776356 74664534 149329068