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180113504 = 2517536247
BaseRepresentation
bin10101011110001…
…01000001100000
3110112220201021112
422233011001200
5332102113004
625512242452
74314640154
oct1257050140
9415821245
10180113504
119273aa3a
12503a0428
132b41374c
1419cc7064
1510c2be6e
hexabc5060

180113504 has 48 divisors (see below), whose sum is σ = 382602528. Its totient is φ = 83146752.

The previous prime is 180113501. The next prime is 180113513. The reversal of 180113504 is 405311081.

It is a self number, because there is not a number n which added to its sum of digits gives 180113504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180113501) 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 7 ways as a sum of consecutive naturals, for example, 25709 + ... + 31955.

It is an arithmetic number, because the mean of its divisors is an integer number (7970886).

Almost surely, 2180113504 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 180113504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191301264).

180113504 is an abundant number, since it is smaller than the sum of its proper divisors (202489024).

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

180113504 is a wasteful number, since it uses less digits than its factorization.

180113504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6327 (or 6319 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 180113504 is about 13420.6372426946. The cubic root of 180113504 is about 564.7402716734.

Adding to 180113504 its reverse (405311081), we get a palindrome (585424585).

The spelling of 180113504 in words is "one hundred eighty million, one hundred thirteen thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 136 212 272 424 544 848 901 1696 1802 3604 6247 7208 12494 14416 24988 28832 49976 99952 106199 199904 212398 331091 424796 662182 849592 1324364 1699184 2648728 3398368 5297456 5628547 10594912 11257094 22514188 45028376 90056752 180113504