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21896496 = 2432732083
BaseRepresentation
bin101001110000…
…1110100110000
31112012110100100
41103201310300
521101141441
62101152400
7354055116
oct123416460
945173310
1021896496
11113a6186
1273bb700
1346c870b
142c9dab6
151dc7cb6
hex14e1d30

21896496 has 60 divisors (see below), whose sum is σ = 62149048. Its totient is φ = 7195392.

The previous prime is 21896491. The next prime is 21896507. The reversal of 21896496 is 69469812.

It is a happy number.

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 (21896491) 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 11 ways as a sum of consecutive naturals, for example, 9471 + ... + 11553.

Almost surely, 221896496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21896496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31074524).

21896496 is an abundant number, since it is smaller than the sum of its proper divisors (40252552).

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

21896496 is a wasteful number, since it uses less digits than its factorization.

21896496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2161 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 21896496 is about 4679.3691882560. The cubic root of 21896496 is about 279.7638144342.

The spelling of 21896496 in words is "twenty-one million, eight hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2083 2628 3504 4166 5256 6249 8332 10512 12498 16664 18747 24996 33328 37494 49992 74988 99984 149976 152059 299952 304118 456177 608236 912354 1216472 1368531 1824708 2432944 2737062 3649416 5474124 7298832 10948248 21896496