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149713564 = 2271113139269
BaseRepresentation
bin10001110110001…
…11001010011100
3101102201020101211
420323013022130
5301311313224
622504514204
73465354460
oct1073071234
9342636354
10149713564
1177567020
124217b964
132502b710
1415c524a0
15d224894
hex8ec729c

149713564 has 96 divisors (see below), whose sum is σ = 355622400. Its totient is φ = 53256960.

The previous prime is 149713549. The next prime is 149713567. The reversal of 149713564 is 465317941.

149713564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149713567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556422 + ... + 556690.

It is an arithmetic number, because the mean of its divisors is an integer number (3704400).

Almost surely, 2149713564 is an apocalyptic number.

149713564 is a gapful number since it is divisible by the number (14) 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 149713564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

149713564 is an abundant number, since it is smaller than the sum of its proper divisors (205908836).

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

149713564 is a wasteful number, since it uses less digits than its factorization.

149713564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 149713564 is about 12235.7494253519. The cubic root of 149713564 is about 530.9908650098.

The spelling of 149713564 in words is "one hundred forty-nine million, seven hundred thirteen thousand, five hundred sixty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 139 143 154 182 269 278 286 308 364 538 556 572 973 1001 1076 1529 1807 1883 1946 2002 2959 3058 3497 3614 3766 3892 4004 5918 6116 6994 7228 7532 10703 11836 12649 13988 19877 20713 21406 24479 25298 37391 38467 39754 41426 42812 48958 50596 74782 76934 79508 82852 97916 139139 149564 153868 261737 269269 278278 411301 486083 523474 538538 556556 822602 972166 1046948 1077076 1645204 1944332 2879107 3402581 5346913 5758214 6805162 10693826 11516428 13610324 21387652 37428391 74856782 149713564