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149586012 = 223219383571
BaseRepresentation
bin10001110101010…
…00000001011100
3101102110202102200
420322220001130
5301243223022
622502051500
73464313552
oct1072500134
9342422380
10149586012
117748a204
1242119b90
1324cb5644
1415c1bbd2
15d1ebbac
hex8ea805c

149586012 has 72 divisors (see below), whose sum is σ = 399759360. Its totient is φ = 47031840.

The previous prime is 149585987. The next prime is 149586023. The reversal of 149586012 is 210685941.

149586012 is a `hidden beast` number, since 1 + 49 + 5 + 8 + 601 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 261687 + ... + 262257.

Almost surely, 2149586012 is an apocalyptic number.

149586012 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 149586012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199879680).

149586012 is an abundant number, since it is smaller than the sum of its proper divisors (250173348).

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

149586012 is a wasteful number, since it uses less digits than its factorization.

149586012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 149586012 is about 12230.5360471240. The cubic root of 149586012 is about 530.8400254364.

The spelling of 149586012 in words is "one hundred forty-nine million, five hundred eighty-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 383 571 684 766 1142 1149 1532 1713 2284 2298 3426 3447 4596 5139 6852 6894 7277 10278 10849 13788 14554 20556 21698 21831 29108 32547 43396 43662 65094 65493 87324 97641 130188 130986 195282 218693 261972 390564 437386 656079 874772 1312158 1968237 2624316 3936474 4155167 7872948 8310334 12465501 16620668 24931002 37396503 49862004 74793006 149586012