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10643480 = 235232503
BaseRepresentation
bin101000100110…
…100000011000
3202000202002222
4220212200120
510211042410
61020043212
7156316361
oct50464030
922022088
1010643480
11600a671
123693508
132288723
1415b0b68
15e03955
hexa26818

10643480 has 48 divisors (see below), whose sum is σ = 25084080. Its totient is φ = 4064192.

The previous prime is 10643467. The next prime is 10643483. The reversal of 10643480 is 8434601.

It is a super-2 number, since 2×106434802 = 226567333020800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10643483) 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, 20909 + ... + 21411.

It is an arithmetic number, because the mean of its divisors is an integer number (522585).

Almost surely, 210643480 is an apocalyptic number.

10643480 is a gapful number since it is divisible by the number (10) 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 10643480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12542040).

10643480 is an abundant number, since it is smaller than the sum of its proper divisors (14440600).

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

10643480 is a wasteful number, since it uses less digits than its factorization.

10643480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 10643480 is about 3262.4346736755. The cubic root of 10643480 is about 219.9688661176.

The spelling of 10643480 in words is "ten million, six hundred forty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 503 529 920 1006 1058 2012 2116 2515 2645 4024 4232 5030 5290 10060 10580 11569 20120 21160 23138 46276 57845 92552 115690 231380 266087 462760 532174 1064348 1330435 2128696 2660870 5321740 10643480