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10279494 = 2331943233
BaseRepresentation
bin100111001101…
…101001000110
3201100020211000
4213031221012
510112420434
61004154130
7153242241
oct47155106
921306730
1010279494
115891155
123538946
13218bb54
141518258
15d80b99
hex9cda46

10279494 has 64 divisors (see below), whose sum is σ = 24710400. Its totient is φ = 3157056.

The previous prime is 10279481. The next prime is 10279499. The reversal of 10279494 is 49497201.

10279494 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10279499) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44002 + ... + 44234.

It is an arithmetic number, because the mean of its divisors is an integer number (386100).

Almost surely, 210279494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10279494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355200).

10279494 is an abundant number, since it is smaller than the sum of its proper divisors (14430906).

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

10279494 is a wasteful number, since it uses less digits than its factorization.

10279494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 10279494 is about 3206.1649988733. The cubic root of 10279494 is about 217.4322262082.

The spelling of 10279494 in words is "ten million, two hundred seventy-nine thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 27 38 43 54 57 86 114 129 171 233 258 342 387 466 513 699 774 817 1026 1161 1398 1634 2097 2322 2451 4194 4427 4902 6291 7353 8854 10019 12582 13281 14706 20038 22059 26562 30057 39843 44118 60114 79686 90171 119529 180342 190361 239058 270513 380722 541026 571083 1142166 1713249 3426498 5139747 10279494