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149432536 = 23114183499
BaseRepresentation
bin10001110100000…
…10100011011000
3101102011221220101
420322002203120
5301223320121
622454505144
73463104241
oct1072024330
9342157811
10149432536
1177394970
12420651b4
1324c60826
1415bbbcc8
15d1bb491
hex8e828d8

149432536 has 64 divisors (see below), whose sum is σ = 317520000. Its totient is φ = 65337600.

The previous prime is 149432531. The next prime is 149432551. The reversal of 149432536 is 635234941.

It is a junction number, because it is equal to n+sod(n) for n = 149432495 and 149432504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149432531) 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 15 ways as a sum of consecutive naturals, for example, 299215 + ... + 299713.

It is an arithmetic number, because the mean of its divisors is an integer number (4961250).

Almost surely, 2149432536 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 149432536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158760000).

149432536 is an abundant number, since it is smaller than the sum of its proper divisors (168087464).

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

149432536 is a wasteful number, since it uses less digits than its factorization.

149432536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 636 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 149432536 is about 12224.2601412110. The cubic root of 149432536 is about 530.6584151334.

It can be divided in two parts, 1494 and 32536, that multiplied together give a square (48608784 = 69722).

The spelling of 149432536 in words is "one hundred forty-nine million, four hundred thirty-two thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 22 41 44 82 83 88 164 166 328 332 451 499 664 902 913 998 1804 1826 1996 3403 3608 3652 3992 5489 6806 7304 10978 13612 20459 21956 27224 37433 40918 41417 43912 74866 81836 82834 149732 163672 165668 225049 299464 331336 450098 455587 900196 911174 1698097 1800392 1822348 3396194 3644696 6792388 13584776 18679067 37358134 74716268 149432536