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530664100 = 225210152541
BaseRepresentation
bin11111101000010…
…100101010100100
31100222112112021221
4133220110222210
52041322222400
6124353550124
716102366441
oct3750245244
91328475257
10530664100
1125260087a
12129875344
1385c30435
14506989c8
15318c3c1a
hex1fa14aa4

530664100 has 36 divisors (see below), whose sum is σ = 1162964628. Its totient is φ = 210160000.

The previous prime is 530664097. The next prime is 530664103. The reversal of 530664100 is 1466035.

It is an interprime number because it is at equal distance from previous prime (530664097) and next prime (530664103).

It can be written as a sum of positive squares in 6 ways, for example, as 122058304 + 408605796 = 11048^2 + 20214^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (530664103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16171 + ... + 36370.

It is an arithmetic number, because the mean of its divisors is an integer number (32304573).

Almost surely, 2530664100 is an apocalyptic number.

530664100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

530664100 is an abundant number, since it is smaller than the sum of its proper divisors (632300528).

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

530664100 is a wasteful number, since it uses less digits than its factorization.

530664100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52656 (or 52649 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 530664100 is about 23036.1476814158. The cubic root of 530664100 is about 809.6051014152.

The spelling of 530664100 in words is "five hundred thirty million, six hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 52541 105082 210164 262705 525410 1050820 1313525 2627050 5254100 5306641 10613282 21226564 26533205 53066410 106132820 132666025 265332050 530664100