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253260020 = 22513274929
BaseRepresentation
bin11110001100001…
…11000011110100
3122122112221102202
433012013003310
51004313310040
641044124032
76163450256
oct1706070364
9578487382
10253260020
1111aa60002
1270996618
1340614500
14258c7cd6
151737a015
hexf1870f4

253260020 has 36 divisors (see below), whose sum is σ = 575911980. Its totient is φ = 93510144.

The previous prime is 253260013. The next prime is 253260043. The reversal of 253260020 is 20062352.

It is a happy number.

253260020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5071504 + 248188516 = 2252^2 + 15754^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 253259974 and 253260001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34085 + ... + 40844.

It is an arithmetic number, because the mean of its divisors is an integer number (15997555).

Almost surely, 2253260020 is an apocalyptic number.

253260020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253260020 is an abundant number, since it is smaller than the sum of its proper divisors (322651960).

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

253260020 is a wasteful number, since it uses less digits than its factorization.

253260020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74964 (or 74949 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 253260020 is about 15914.1452802216. The cubic root of 253260020 is about 632.6869533329.

The spelling of 253260020 in words is "two hundred fifty-three million, two hundred sixty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 74929 149858 299716 374645 749290 974077 1498580 1948154 3896308 4870385 9740770 12663001 19481540 25326002 50652004 63315005 126630010 253260020