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149233104 = 2435131293
BaseRepresentation
bin10001110010100…
…01110111010000
3101101210211100000
420321101313100
5301200424404
622450330000
73461313636
oct1071216720
9341724300
10149233104
1177269049
1241b89900
1324bc0b17
1415b69356
15d17c339
hex8e51dd0

149233104 has 120 divisors (see below), whose sum is σ = 437909472. Its totient is φ = 49196160.

The previous prime is 149233103. The next prime is 149233109. The reversal of 149233104 is 401332941.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149233103) 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, 509182 + ... + 509474.

Almost surely, 2149233104 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 149233104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218954736).

149233104 is an abundant number, since it is smaller than the sum of its proper divisors (288676368).

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

149233104 is a wasteful number, since it uses less digits than its factorization.

149233104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 149233104 is about 12216.1001960527. The cubic root of 149233104 is about 530.4222385795.

It can be divided in two parts, 1492 and 33104, that added together give a square (34596 = 1862).

The spelling of 149233104 in words is "one hundred forty-nine million, two hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 131 144 162 216 243 262 293 324 393 432 486 524 586 648 786 879 972 1048 1172 1179 1296 1572 1758 1944 2096 2344 2358 2637 3144 3516 3537 3888 4688 4716 5274 6288 7032 7074 7911 9432 10548 10611 14064 14148 15822 18864 21096 21222 23733 28296 31644 31833 38383 42192 42444 47466 56592 63288 63666 71199 76766 84888 94932 115149 126576 127332 142398 153532 169776 189864 230298 254664 284796 307064 345447 379728 460596 509328 569592 614128 690894 921192 1036341 1139184 1381788 1842384 2072682 2763576 3109023 4145364 5527152 6218046 8290728 9327069 12436092 16581456 18654138 24872184 37308276 49744368 74616552 149233104