Search a number
-
+
10664300 = 2252472269
BaseRepresentation
bin101000101011…
…100101101100
3202001210200002
4220223211230
510212224200
61020323432
7156434153
oct50534554
922053602
1010664300
116024279
1236a3578
13229504a
1415b859a
15e09bd5
hexa2b96c

10664300 has 36 divisors (see below), whose sum is σ = 23644320. Its totient is φ = 4173120.

The previous prime is 10664299. The next prime is 10664327. The reversal of 10664300 is 346601.

10664300 = T24 + T25 + ... + T399.

10664300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106643002 = 227454588980000, which contains 22 as substring.

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

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, 3566 + ... + 5834.

Almost surely, 210664300 is an apocalyptic number.

10664300 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 10664300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11822160).

10664300 is an abundant number, since it is smaller than the sum of its proper divisors (12980020).

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

10664300 is a wasteful number, since it uses less digits than its factorization.

10664300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 10664300 is about 3265.6239832534. The cubic root of 10664300 is about 220.1122017197.

The spelling of 10664300 in words is "ten million, six hundred sixty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2269 2350 4538 4700 9076 11345 22690 45380 56725 106643 113450 213286 226900 426572 533215 1066430 2132860 2666075 5332150 10664300