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1252028240 = 24517920609
BaseRepresentation
bin100101010100000…
…0110111101010000
310020020220121212022
41022220012331100
510031004400430
6324123151012
743012031051
oct11250067520
93206817768
101252028240
11592812391
122ab375468
1316c50cb18
14bc3d4728
1574db64e5
hex4aa06f50

1252028240 has 40 divisors (see below), whose sum is σ = 3082202280. Its totient is φ = 471351296.

The previous prime is 1252028227. The next prime is 1252028243. The reversal of 1252028240 is 428202521.

It can be written as a sum of positive squares in 4 ways, for example, as 28987456 + 1223040784 = 5384^2 + 34972^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252028243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458945 + ... + 461664.

It is an arithmetic number, because the mean of its divisors is an integer number (77055057).

Almost surely, 21252028240 is an apocalyptic number.

1252028240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252028240 is an abundant number, since it is smaller than the sum of its proper divisors (1830174040).

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

1252028240 is a wasteful number, since it uses less digits than its factorization.

1252028240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920639 (or 920633 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 1252028240 is about 35384.0110784518. The cubic root of 1252028240 is about 1077.7996582592.

The spelling of 1252028240 in words is "one billion, two hundred fifty-two million, twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 920609 1841218 3682436 4603045 7364872 9206090 14729744 15650353 18412180 31300706 36824360 62601412 73648720 78251765 125202824 156503530 250405648 313007060 626014120 1252028240