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4013316 = 22322337131
BaseRepresentation
bin1111010011110100000100
321112220020100
433103310010
52011411231
6222004100
746053426
oct17236404
97486210
104013316
1122a129a
121416630
13aa6958
14766816
155441e6
hex3d3d04

4013316 has 72 divisors (see below), whose sum is σ = 10954944. Its totient is φ = 1235520.

The previous prime is 4013297. The next prime is 4013323. The reversal of 4013316 is 6133104.

4013316 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 2×40133162 = 32213410631712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 30571 + ... + 30701.

It is an arithmetic number, because the mean of its divisors is an integer number (152152).

Almost surely, 24013316 is an apocalyptic number.

4013316 is a gapful number since it is divisible by the number (46) 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 4013316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5477472).

4013316 is an abundant number, since it is smaller than the sum of its proper divisors (6941628).

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

4013316 is a wasteful number, since it uses less digits than its factorization.

4013316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4013316 is about 2003.3262340418. The cubic root of 4013316 is about 158.9160586947.

The spelling of 4013316 in words is "four million, thirteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 37 46 69 74 92 111 131 138 148 207 222 262 276 333 393 414 444 524 666 786 828 851 1179 1332 1572 1702 2358 2553 3013 3404 4716 4847 5106 6026 7659 9039 9694 10212 12052 14541 15318 18078 19388 27117 29082 30636 36156 43623 54234 58164 87246 108468 111481 174492 222962 334443 445924 668886 1003329 1337772 2006658 4013316