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21996432 = 2432152753
BaseRepresentation
bin101001111101…
…0001110010000
31112101112102200
41103322032100
521112341212
62103243200
7354652353
oct123721620
945345380
1021996432
1111464277
127449500
134732053
142cc829a
151de76dc
hex14fa390

21996432 has 30 divisors (see below), whose sum is σ = 61559862. Its totient is φ = 7332096.

The previous prime is 21996427. The next prime is 21996437. The reversal of 21996432 is 23469912.

21996432 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 643 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21996427) and next prime (21996437).

It can be written as a sum of positive squares in only one way, i.e., 21678336 + 318096 = 4656^2 + 564^2 .

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 not an unprimeable number, because it can be changed into a prime (21996437) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76233 + ... + 76520.

Almost surely, 221996432 is an apocalyptic number.

It is an amenable number.

21996432 is an abundant number, since it is smaller than the sum of its proper divisors (39563430).

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

21996432 is a wasteful number, since it uses less digits than its factorization.

21996432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152767 (or 152758 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 21996432 is about 4690.0353943227. The cubic root of 21996432 is about 280.1887842521.

The spelling of 21996432 in words is "twenty-one million, nine hundred ninety-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 152753 305506 458259 611012 916518 1222024 1374777 1833036 2444048 2749554 3666072 5499108 7332144 10998216 21996432