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13023378 = 2322961409
BaseRepresentation
bin110001101011…
…100010010010
3220111122201100
4301223202102
511313222003
61143045230
7215461014
oct61534222
926448640
1013023378
117395725
124440816
13290ca54
141a301b4
151223ba3
hexc6b892

13023378 has 48 divisors (see below), whose sum is σ = 29741400. Its totient is φ = 4112640.

The previous prime is 13023289. The next prime is 13023383. The reversal of 13023378 is 87332031.

It can be written as a sum of positive squares in 4 ways, for example, as 10673289 + 2350089 = 3267^2 + 1533^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 31638 + ... + 32046.

Almost surely, 213023378 is an apocalyptic number.

13023378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14870700).

13023378 is an abundant number, since it is smaller than the sum of its proper divisors (16718022).

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

13023378 is a wasteful number, since it uses less digits than its factorization.

13023378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13023378 is about 3608.7917645661. The cubic root of 13023378 is about 235.2743318093.

The spelling of 13023378 in words is "thirteen million, twenty-three thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 29 58 61 87 122 174 183 261 366 409 522 549 818 1098 1227 1769 2454 3538 3681 5307 7362 10614 11861 15921 23722 24949 31842 35583 49898 71166 74847 106749 149694 213498 224541 449082 723521 1447042 2170563 4341126 6511689 13023378