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11946012 = 22313731049
BaseRepresentation
bin101101100100…
…100000011100
3211110220211220
4231210200130
511024233022
61104013340
7203353011
oct55444034
924426756
1011946012
11681a241
124001250
132623560
14182d708
1510ae85c
hexb6481c

11946012 has 48 divisors (see below), whose sum is σ = 30458400. Its totient is φ = 3621888.

The previous prime is 11946007. The next prime is 11946017. The reversal of 11946012 is 21064911.

It is an interprime number because it is at equal distance from previous prime (11946007) and next prime (11946017).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11946017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10864 + ... + 11912.

It is an arithmetic number, because the mean of its divisors is an integer number (634550).

Almost surely, 211946012 is an apocalyptic number.

11946012 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 11946012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15229200).

11946012 is an abundant number, since it is smaller than the sum of its proper divisors (18512388).

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

11946012 is a wasteful number, since it uses less digits than its factorization.

11946012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 11946012 is about 3456.3003341724. The cubic root of 11946012 is about 228.5989943689.

The spelling of 11946012 in words is "eleven million, nine hundred forty-six thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 219 292 438 876 949 1049 1898 2098 2847 3147 3796 4196 5694 6294 11388 12588 13637 27274 40911 54548 76577 81822 153154 163644 229731 306308 459462 918924 995501 1991002 2986503 3982004 5973006 11946012