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253246620 = 2235111722571
BaseRepresentation
bin11110001100000…
…11110010011100
3122122112021001110
433012003302130
51004312342440
641043542020
76163363224
oct1706036234
9578467043
10253246620
1111aa50a30
127098a910
134060b393
14258c3084
1517376080
hexf183c9c

253246620 has 96 divisors (see below), whose sum is σ = 819092736. Its totient is φ = 57779200.

The previous prime is 253246613. The next prime is 253246621. The reversal of 253246620 is 26642352.

253246620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253246621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66 + ... + 22505.

It is an arithmetic number, because the mean of its divisors is an integer number (8532216).

Almost surely, 2253246620 is an apocalyptic number.

253246620 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 253246620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409546368).

253246620 is an abundant number, since it is smaller than the sum of its proper divisors (565846116).

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

253246620 is a wasteful number, since it uses less digits than its factorization.

253246620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22611 (or 22609 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 253246620 is about 15913.7242655514. The cubic root of 253246620 is about 632.6757946370.

Adding to 253246620 its reverse (26642352), we get a palindrome (279888972).

The spelling of 253246620 in words is "two hundred fifty-three million, two hundred forty-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 22571 45142 67713 90284 112855 135426 225710 248281 270852 338565 383707 451420 496562 677130 744843 767414 993124 1151121 1241405 1354260 1489686 1534828 1918535 2302242 2482810 2979372 3724215 3837070 4220777 4604484 4965620 5755605 7448430 7674140 8441554 11511210 12662331 14896860 16883108 21103885 23022420 25324662 42207770 50649324 63311655 84415540 126623310 253246620