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11996720 = 245295171
BaseRepresentation
bin101101110000…
…111000110000
3211120111101222
4231300320300
511032343340
61105044212
7203653601
oct55607060
924514358
1011996720
11685434a
124026668
132640668
141843da8
1510be8b5
hexb70e30

11996720 has 40 divisors (see below), whose sum is σ = 28859760. Its totient is φ = 4632320.

The previous prime is 11996711. The next prime is 11996729. The reversal of 11996720 is 2769911.

It is an interprime number because it is at equal distance from previous prime (11996711) and next prime (11996729).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11996729) 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, 266 + ... + 4905.

It is an arithmetic number, because the mean of its divisors is an integer number (721494).

Almost surely, 211996720 is an apocalyptic number.

11996720 is a gapful number since it is divisible by the number (10) 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 11996720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14429880).

11996720 is an abundant number, since it is smaller than the sum of its proper divisors (16863040).

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

11996720 is a wasteful number, since it uses less digits than its factorization.

11996720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 35.

The square root of 11996720 is about 3463.6281555617. The cubic root of 11996720 is about 228.9219873726.

The spelling of 11996720 in words is "eleven million, nine hundred ninety-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 5171 10342 20684 25855 41368 51710 82736 103420 149959 206840 299918 413680 599836 749795 1199672 1499590 2399344 2999180 5998360 11996720