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20976400 = 24522292
BaseRepresentation
bin101000000000…
…1001100010000
31110110201012201
41100001030100
520332221100
62025332544
7343203454
oct120011420
943421181
1020976400
1110927975
127037154
134465993
142b00664
151c9536a
hex1401310

20976400 has 45 divisors (see below), whose sum is σ = 50616831. Its totient is φ = 8353920.

The previous prime is 20976377. The next prime is 20976407. The reversal of 20976400 is 467902.

The square root of 20976400 is 4580.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2862864 + 18113536 = 1692^2 + 4256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20976407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 91486 + ... + 91714.

Almost surely, 220976400 is an apocalyptic number.

20976400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20976400 is the 4580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20976400

20976400 is an abundant number, since it is smaller than the sum of its proper divisors (29640431).

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

20976400 is an equidigital number, since it uses as much as digits as its factorization.

20976400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The cubic root of 20976400 is about 275.7890287231.

The spelling of 20976400 in words is "twenty million, nine hundred seventy-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 229 400 458 916 1145 1832 2290 3664 4580 5725 9160 11450 18320 22900 45800 52441 91600 104882 209764 262205 419528 524410 839056 1048820 1311025 2097640 2622050 4195280 5244100 10488200 20976400