Search a number
-
+
149186232 = 23331353129
BaseRepresentation
bin10001110010001…
…10011010111000
3101101201110001000
420321012122320
5301142424412
622445325000
73461030166
oct1071063270
9341643030
10149186232
1177236908
1241b66760
1324ba56a0
1415b56236
15d16d4dc
hex8e466b8

149186232 has 64 divisors (see below), whose sum is σ = 446292000. Its totient is φ = 45902592.

The previous prime is 149186197. The next prime is 149186251. The reversal of 149186232 is 232681941.

149186232 is a `hidden beast` number, since 14 + 9 + 18 + 623 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 23757 + ... + 29372.

Almost surely, 2149186232 is an apocalyptic number.

149186232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149186232 is an abundant number, since it is smaller than the sum of its proper divisors (297105768).

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

149186232 is a wasteful number, since it uses less digits than its factorization.

149186232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53157 (or 53147 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 149186232 is about 12214.1815935412. The cubic root of 149186232 is about 530.3667000654.

The spelling of 149186232 in words is "one hundred forty-nine million, one hundred eighty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 53129 106258 159387 212516 318774 425032 478161 637548 690677 956322 1275096 1381354 1434483 1912644 2072031 2762708 2868966 3825288 4144062 5525416 5737932 6216093 8288124 11475864 12432186 16576248 18648279 24864372 37296558 49728744 74593116 149186232