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20407296 = 210371373
BaseRepresentation
bin100110111011…
…0010000000000
31102101210112210
41031312100000
520211013141
62005222120
7335313330
oct115662000
942353483
1020407296
1110579338
126a01940
1342c6930
1429d30c0
151bd1916
hex1376400

20407296 has 176 divisors, whose sum is σ = 67862144. Its totient is φ = 5308416.

The previous prime is 20407229. The next prime is 20407297. The reversal of 20407296 is 69270402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20407297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279516 + ... + 279588.

Almost surely, 220407296 is an apocalyptic number.

20407296 is a gapful number since it is divisible by the number (26) 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 20407296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33931072).

20407296 is an abundant number, since it is smaller than the sum of its proper divisors (47454848).

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

20407296 is a wasteful number, since it uses less digits than its factorization.

20407296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 20407296 is about 4517.4435248268. The cubic root of 20407296 is about 273.2720121544.

Adding to 20407296 its reverse (69270402), we get a palindrome (89677698).

The spelling of 20407296 in words is "twenty million, four hundred seven thousand, two hundred ninety-six".