Search a number
-
+
10466368 = 261114867
BaseRepresentation
bin100111111011…
…010001000000
3201200202011021
4213323101000
510134410433
61012155224
7154651123
oct47732100
921622137
1010466368
1159a95a0
123608b14
132225c23
1415663ba
15dbb22d
hex9fb440

10466368 has 28 divisors (see below), whose sum is σ = 22658832. Its totient is φ = 4757120.

The previous prime is 10466363. The next prime is 10466371. The reversal of 10466368 is 86366401.

It is a super-2 number, since 2×104663682 = 219089718222848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10466363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6730 + ... + 8137.

It is an arithmetic number, because the mean of its divisors is an integer number (809244).

Almost surely, 210466368 is an apocalyptic number.

It is an amenable number.

10466368 is an abundant number, since it is smaller than the sum of its proper divisors (12192464).

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

10466368 is a wasteful number, since it uses less digits than its factorization.

10466368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14890 (or 14880 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 10466368 is about 3235.1766566913. The cubic root of 10466368 is about 218.7419101226.

The spelling of 10466368 in words is "ten million, four hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 14867 29734 59468 118936 163537 237872 327074 475744 654148 951488 1308296 2616592 5233184 10466368