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11996496 = 2432227367
BaseRepresentation
bin101101110000…
…110101010000
3211120111002200
4231300311100
511032341441
61105043200
7203653131
oct55606520
924514080
1011996496
116854166
124026500
132640525
141843c88
1510be7b6
hexb70d50

11996496 has 60 divisors (see below), whose sum is σ = 33813312. Its totient is φ = 3970368.

The previous prime is 11996449. The next prime is 11996507. The reversal of 11996496 is 69469911.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 32505 + ... + 32871.

Almost surely, 211996496 is an apocalyptic number.

11996496 is a gapful number since it is divisible by the number (16) 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 11996496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16906656).

11996496 is an abundant number, since it is smaller than the sum of its proper divisors (21816816).

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

11996496 is a wasteful number, since it uses less digits than its factorization.

11996496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 599 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 11996496 is about 3463.5958193762. The cubic root of 11996496 is about 228.9205625708.

The spelling of 11996496 in words is "eleven million, nine hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 227 367 454 681 734 908 1101 1362 1468 1816 2043 2202 2724 2936 3303 3632 4086 4404 5448 5872 6606 8172 8808 10896 13212 16344 17616 26424 32688 52848 83309 166618 249927 333236 499854 666472 749781 999708 1332944 1499562 1999416 2999124 3998832 5998248 11996496