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2660630900 = 2252176125657
BaseRepresentation
bin1001111010010110…
…0000000101110100
320212102110001110012
42132211200011310
520422110142100
61120002315352
7122634663254
oct23645400564
96772401405
102660630900
111145947414
12623058b58
133352b1115
141b3505964
151088aa135
hex9e960174

2660630900 has 72 divisors (see below), whose sum is σ = 6213649176. Its totient is φ = 985190400.

The previous prime is 2660630773. The next prime is 2660630909. The reversal of 2660630900 is 90360662.

It can be written as a sum of positive squares in 12 ways, for example, as 1344102244 + 1316528656 = 36662^2 + 36284^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2660630909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90872 + ... + 116528.

It is an arithmetic number, because the mean of its divisors is an integer number (86300683).

Almost surely, 22660630900 is an apocalyptic number.

2660630900 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 2660630900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106824588).

2660630900 is an abundant number, since it is smaller than the sum of its proper divisors (3553018276).

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

2660630900 is a wasteful number, since it uses less digits than its factorization.

2660630900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25749 (or 25742 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 2660630900 is about 51581.3037834446. The cubic root of 2660630900 is about 1385.6755166314.

The spelling of 2660630900 in words is "two billion, six hundred sixty million, six hundred thirty thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 61 68 85 100 122 170 244 305 340 425 610 850 1037 1220 1525 1700 2074 3050 4148 5185 6100 10370 20740 25657 25925 51314 51850 102628 103700 128285 256570 436169 513140 641425 872338 1282850 1565077 1744676 2180845 2565700 3130154 4361690 6260308 7825385 8723380 10904225 15650770 21808450 26606309 31301540 39126925 43616900 53212618 78253850 106425236 133031545 156507700 266063090 532126180 665157725 1330315450 2660630900