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10864380 = 2235434211
BaseRepresentation
bin101001011100…
…011011111100
3202102222010110
4221130123330
510240130010
61024510020
7161226402
oct51343374
922388113
1010864380
11615062a
12377b310
132335137
14162b472
15e49120
hexa5c6fc

10864380 has 48 divisors (see below), whose sum is σ = 31135104. Its totient is φ = 2829120.

The previous prime is 10864369. The next prime is 10864393. The reversal of 10864380 is 8346801.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475 + ... + 4685.

It is an arithmetic number, because the mean of its divisors is an integer number (648648).

Almost surely, 210864380 is an apocalyptic number.

10864380 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 10864380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567552).

10864380 is an abundant number, since it is smaller than the sum of its proper divisors (20270724).

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

10864380 is a wasteful number, since it uses less digits than its factorization.

10864380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10864380 is about 3296.1158960206. The cubic root of 10864380 is about 221.4802384760.

The spelling of 10864380 in words is "ten million, eight hundred sixty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 4211 8422 12633 16844 21055 25266 42110 50532 63165 84220 126330 181073 252660 362146 543219 724292 905365 1086438 1810730 2172876 2716095 3621460 5432190 10864380