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10668476 = 2272135379
BaseRepresentation
bin101000101100…
…100110111100
3202002000101202
4220230212330
510212342401
61020355032
7156452300
oct50544674
922060352
1010668476
116027425
1236a5a78
132296c10
1415b9d00
15e0b06b
hexa2c9bc

10668476 has 72 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 4088448.

The previous prime is 10668421. The next prime is 10668521. The reversal of 10668476 is 67486601.

10668476 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 2×106684762 = 227632760325152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135005 + ... + 135083.

It is an arithmetic number, because the mean of its divisors is an integer number (335160).

Almost surely, 210668476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10668476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

10668476 is an abundant number, since it is smaller than the sum of its proper divisors (13463044).

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

10668476 is a wasteful number, since it uses less digits than its factorization.

10668476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 10668476 is about 3266.2633084306. The cubic root of 10668476 is about 220.1409289873.

The spelling of 10668476 in words is "ten million, six hundred sixty-eight thousand, four hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 53 79 91 98 106 158 182 196 212 316 364 371 553 637 689 742 1027 1106 1274 1378 1484 2054 2212 2548 2597 2756 3871 4108 4187 4823 5194 7189 7742 8374 9646 10388 14378 15484 16748 19292 28756 29309 33761 50323 54431 58618 67522 100646 108862 117236 135044 201292 205163 217724 381017 410326 762034 820652 1524068 2667119 5334238 10668476