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149042712 = 23372139749
BaseRepresentation
bin10001110001000…
…11011000011000
3101101110011011110
420320203120120
5301123331322
622442300320
73456561600
oct1070433030
9341404143
10149042712
1177148aa5
1241ab76a0
1324b55270
1415b19c00
15d140c0c
hex8e23618

149042712 has 96 divisors (see below), whose sum is σ = 466830000. Its totient is φ = 39303936.

The previous prime is 149042671. The next prime is 149042717. The reversal of 149042712 is 217240941.

149042712 is nontrivially palindromic in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 149042712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149042717) 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 23 ways as a sum of consecutive naturals, for example, 10414 + ... + 20162.

Almost surely, 2149042712 is an apocalyptic number.

149042712 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 149042712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233415000).

149042712 is an abundant number, since it is smaller than the sum of its proper divisors (317787288).

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

149042712 is a wasteful number, since it uses less digits than its factorization.

149042712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9785 (or 9774 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 149042712 is about 12208.3050420605. The cubic root of 149042712 is about 530.1965712050.

The spelling of 149042712 in words is "one hundred forty-nine million, forty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 3822 5096 7644 9749 15288 19498 29247 38996 58494 68243 77992 116988 126737 136486 204729 233976 253474 272972 380211 409458 477701 506948 545944 760422 818916 887159 955402 1013896 1433103 1520844 1637832 1774318 1910804 2661477 2866206 3041688 3548636 3821608 5322954 5732412 6210113 7097272 10645908 11464824 12420226 18630339 21291816 24840452 37260678 49680904 74521356 149042712