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20315416 = 2311231677
BaseRepresentation
bin100110101111…
…1110100011000
31102020010111211
41031133310120
520200043131
62003232504
7334451422
oct115376430
942203454
1020315416
1110516300
126978734
134293b74
1429ab812
151bb45b1
hex135fd18

20315416 has 48 divisors (see below), whose sum is σ = 43283520. Its totient is φ = 8923200.

The previous prime is 20315413. The next prime is 20315423. The reversal of 20315416 is 61451302.

It is a super-2 number, since 2×203154162 = 825432254506112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20315413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29670 + ... + 30346.

It is an arithmetic number, because the mean of its divisors is an integer number (901740).

Almost surely, 220315416 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 20315416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21641760).

20315416 is an abundant number, since it is smaller than the sum of its proper divisors (22968104).

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

20315416 is a wasteful number, since it uses less digits than its factorization.

20315416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 20315416 is about 4507.2625838751. The cubic root of 20315416 is about 272.8612765576.

Adding to 20315416 its reverse (61451302), we get a palindrome (81766718).

It can be divided in two parts, 2031 and 5416, that added together give a palindrome (7447).

The spelling of 20315416 in words is "twenty million, three hundred fifteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 677 682 968 1354 1364 2708 2728 3751 5416 7447 7502 14894 15004 20987 29788 30008 41974 59576 81917 83948 163834 167896 230857 327668 461714 655336 923428 1846856 2539427 5078854 10157708 20315416