Search a number
-
+
21297920 = 28572377
BaseRepresentation
bin101000100111…
…1101100000000
31111002001020212
41101033230000
520423013140
62040253252
7346013030
oct121175400
944061225
1021297920
1111027496
127171228
134549127
142b858c0
151d0a765
hex144fb00

21297920 has 72 divisors (see below), whose sum is σ = 58327584. Its totient is φ = 7299072.

The previous prime is 21297907. The next prime is 21297929. The reversal of 21297920 is 2979212.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (21297929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7772 + ... + 10148.

Almost surely, 221297920 is an apocalyptic number.

21297920 is a gapful number since it is divisible by the number (20) 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 21297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29163792).

21297920 is an abundant number, since it is smaller than the sum of its proper divisors (37029664).

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

21297920 is an equidigital number, since it uses as much as digits as its factorization.

21297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 21297920 is about 4614.9669554613. The cubic root of 21297920 is about 277.1909607831.

The spelling of 21297920 in words is "twenty-one million, two hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 2377 4480 4754 8960 9508 11885 16639 19016 23770 33278 38032 47540 66556 76064 83195 95080 133112 152128 166390 190160 266224 304256 332780 380320 532448 608512 665560 760640 1064896 1331120 1521280 2129792 2662240 3042560 4259584 5324480 10648960 21297920