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20253060 = 22325373041
BaseRepresentation
bin100110101000…
…0100110000100
31102002221222100
41031100212010
520141044220
62002032100
7334101552
oct115204604
942087870
1020253060
1110483473
126948630
134271679
142992bd2
151ba0d90
hex1350984

20253060 has 72 divisors (see below), whose sum is σ = 63115416. Its totient is φ = 5253120.

The previous prime is 20253029. The next prime is 20253073. The reversal of 20253060 is 6035202.

It can be written as a sum of positive squares in 4 ways, for example, as 11819844 + 8433216 = 3438^2 + 2904^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5140 + ... + 8180.

It is an arithmetic number, because the mean of its divisors is an integer number (876603).

Almost surely, 220253060 is an apocalyptic number.

20253060 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 20253060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31557708).

20253060 is an abundant number, since it is smaller than the sum of its proper divisors (42862356).

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

20253060 is a wasteful number, since it uses less digits than its factorization.

20253060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20253060 is about 4500.3399871565. The cubic root of 20253060 is about 272.5818175889.

Adding to 20253060 its reverse (6035202), we get a palindrome (26288262).

The spelling of 20253060 in words is "twenty million, two hundred fifty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3041 3330 6082 6660 9123 12164 15205 18246 27369 30410 36492 45615 54738 60820 91230 109476 112517 136845 182460 225034 273690 337551 450068 547380 562585 675102 1012653 1125170 1350204 1687755 2025306 2250340 3375510 4050612 5063265 6751020 10126530 20253060