Search a number
-
+
20240752900 = 22524123472
BaseRepresentation
bin10010110110011100…
…010110000100000100
31221020121112210010211
4102312130112010010
5312423113043100
613144245325204
71314404363254
oct226634260404
957217483124
1020240752900
118647417265
123b0a706804
131ba7530384
14da0275964
157d6e751ba
hex4b6716104

20240752900 has 81 divisors (see below), whose sum is σ = 45149955487. Its totient is φ = 7876067200.

The previous prime is 20240752897. The next prime is 20240752921. The reversal of 20240752900 is 925704202.

The square root of 20240752900 is 142270.

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 8519659204 + 11721093696 = 92302^2 + 108264^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58330527 + ... + 58330873.

Almost surely, 220240752900 is an apocalyptic number.

20240752900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20240752900 is the 142270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20240752900

20240752900 is an abundant number, since it is smaller than the sum of its proper divisors (24909202587).

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

20240752900 is an equidigital number, since it uses as much as digits as its factorization.

20240752900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 20240752900 in words is "twenty billion, two hundred forty million, seven hundred fifty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 347 410 694 820 1025 1388 1681 1735 2050 3362 3470 4100 6724 6940 8405 8675 14227 16810 17350 28454 33620 34700 42025 56908 71135 84050 120409 142270 168100 240818 284540 355675 481636 583307 602045 711350 1166614 1204090 1422700 2333228 2408180 2916535 3010225 4936769 5833070 6020450 9873538 11666140 12040900 14582675 19747076 24683845 29165350 49367690 58330700 98735380 123419225 202407529 246838450 404815058 493676900 809630116 1012037645 2024075290 4048150580 5060188225 10120376450 20240752900