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BaseRepresentation
bin101101100100…
…000000000000
3211110211000000
4231210000000
511024201221
61104000000
7203343654
oct55440000
924424000
1011943936
116818724
124000000
132622624
14182ca64
hexb64000

11943936 has 105 divisors (see below), whose sum is σ = 35814331. Its totient is φ = 3981312.

The previous prime is 11943929. The next prime is 11943941. The reversal of 11943936 is 63934911.

The square root of 11943936 is 3456.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)4 ⋅ (3!)2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a Duffinian number.

It is a nialpdrome in base 8, base 12 and base 16.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 11943936.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 3981311 + 3981312 + 3981313.

Almost surely, 211943936 is an apocalyptic number.

11943936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11943936 is the 3456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11943936

11943936 is an abundant number, since it is smaller than the sum of its proper divisors (23870395).

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

11943936 is an frugal number, since it uses more digits than its factorization.

11943936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 5 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The cubic root of 11943936 is about 228.5857514834.

Multiplying 11943936 by its sum of digits (36), we get a 8-th power (429981696 = 128).

11943936 divided by its sum of digits (36) gives a 4-th power (331776 = 244).

The spelling of 11943936 in words is "eleven million, nine hundred forty-three thousand, nine hundred thirty-six".