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11985864 = 2331183547
BaseRepresentation
bin101101101110…
…001111001000
3211112221111220
4231232033020
511032021424
61104522040
7203610132
oct55561710
924487456
1011985864
116847180
124020320
132638737
141840052
1510bb579
hexb6e3c8

11985864 has 64 divisors (see below), whose sum is σ = 33143040. Its totient is φ = 3581760.

The previous prime is 11985859. The next prime is 11985877. The reversal of 11985864 is 46858911.

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, 21639 + ... + 22185.

It is an arithmetic number, because the mean of its divisors is an integer number (517860).

Almost surely, 211985864 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 11985864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16571520).

11985864 is an abundant number, since it is smaller than the sum of its proper divisors (21157176).

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

11985864 is a wasteful number, since it uses less digits than its factorization.

11985864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 646 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 11985864 is about 3462.0606580475. The cubic root of 11985864 is about 228.8529149623.

The spelling of 11985864 in words is "eleven million, nine hundred eighty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 132 166 249 264 332 498 547 664 913 996 1094 1641 1826 1992 2188 2739 3282 3652 4376 5478 6017 6564 7304 10956 12034 13128 18051 21912 24068 36102 45401 48136 72204 90802 136203 144408 181604 272406 363208 499411 544812 998822 1089624 1498233 1997644 2996466 3995288 5992932 11985864