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263625420 = 223540110957
BaseRepresentation
bin11111011011010…
…01101011001100
3200101001120002110
433231221223030
51014442003140
642054224020
76350531142
oct1755515314
9611046073
10263625420
1112589a753
1274355010
1342803496
1427025592
1518226380
hexfb69acc

263625420 has 48 divisors (see below), whose sum is σ = 740059488. Its totient is φ = 70118400.

The previous prime is 263625419. The next prime is 263625433. The reversal of 263625420 is 24526362.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18582 + ... + 29538.

It is an arithmetic number, because the mean of its divisors is an integer number (15417906).

Almost surely, 2263625420 is an apocalyptic number.

263625420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263625420 is an abundant number, since it is smaller than the sum of its proper divisors (476434068).

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

263625420 is a wasteful number, since it uses less digits than its factorization.

263625420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11370 (or 11368 counting only the distinct ones).

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

The square root of 263625420 is about 16236.5458149201. The cubic root of 263625420 is about 641.2033188016.

The spelling of 263625420 in words is "two hundred sixty-three million, six hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 401 802 1203 1604 2005 2406 4010 4812 6015 8020 10957 12030 21914 24060 32871 43828 54785 65742 109570 131484 164355 219140 328710 657420 4393757 8787514 13181271 17575028 21968785 26362542 43937570 52725084 65906355 87875140 131812710 263625420