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11976012 = 2237372
BaseRepresentation
bin101101101011…
…110101001100
3211112110000000
4231223311030
511031213022
61104404300
7203536326
oct55536514
924473000
1011976012
11683a834
124016690
1326340c9
14183a616
1510b86ac
hexb6bd4c

11976012 has 72 divisors (see below), whose sum is σ = 32304720. Its totient is φ = 3884112.

The previous prime is 11975993. The next prime is 11976047. The reversal of 11976012 is 21067911.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323658 + ... + 323694.

Almost surely, 211976012 is an apocalyptic number.

11976012 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 11976012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16152360).

11976012 is an abundant number, since it is smaller than the sum of its proper divisors (20328708).

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

11976012 is an frugal number, since it uses more digits than its factorization.

11976012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 11976012 is about 3460.6375135226. The cubic root of 11976012 is about 228.7901944956.

Multiplying 11976012 by its sum of digits (27), we get a square (323352324 = 179822).

11976012 divided by its sum of digits (27) gives a square (443556 = 6662).

The spelling of 11976012 in words is "eleven million, nine hundred seventy-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 729 972 999 1332 1369 1458 1998 2187 2738 2916 2997 3996 4107 4374 5476 5994 8214 8748 8991 11988 12321 16428 17982 24642 26973 35964 36963 49284 53946 73926 80919 107892 110889 147852 161838 221778 323676 332667 443556 665334 998001 1330668 1996002 2994003 3992004 5988006 11976012