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11979132 = 22311151601
BaseRepresentation
bin101101101100…
…100101111100
3211112121021120
4231230211330
511031313012
61104430540
7203551404
oct55544574
924477246
1011979132
116842110
124018450
132635659
14183b804
1510b958c
hexb6c97c

11979132 has 48 divisors (see below), whose sum is σ = 30745344. Its totient is φ = 3600000.

The previous prime is 11979127. The next prime is 11979151. The reversal of 11979132 is 23197911.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11979093 and 11979102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19632 + ... + 20232.

It is an arithmetic number, because the mean of its divisors is an integer number (640528).

Almost surely, 211979132 is an apocalyptic number.

11979132 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 11979132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15372672).

11979132 is an abundant number, since it is smaller than the sum of its proper divisors (18766212).

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

11979132 is a wasteful number, since it uses less digits than its factorization.

11979132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 768 counting only the distinct ones).

The product of its digits is 3402, while the sum is 33.

The square root of 11979132 is about 3461.0882681608. The cubic root of 11979132 is about 228.8100609705.

The spelling of 11979132 in words is "eleven million, nine hundred seventy-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 151 302 453 601 604 906 1202 1661 1803 1812 2404 3322 3606 4983 6611 6644 7212 9966 13222 19833 19932 26444 39666 79332 90751 181502 272253 363004 544506 998261 1089012 1996522 2994783 3993044 5989566 11979132