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2530416 = 243717443
BaseRepresentation
bin1001101001110001110000
311202120002010
421221301300
51121433131
6130122520
730336210
oct11516160
94676063
102530416
111479159
12a20440
136a79b5
1449c240
1534eb46
hex269c70

2530416 has 80 divisors (see below), whose sum is σ = 7928064. Its totient is φ = 678912.

The previous prime is 2530403. The next prime is 2530427. The reversal of 2530416 is 6140352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2530392 and 2530401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5491 + ... + 5933.

22530416 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 2530416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964032).

2530416 is an abundant number, since it is smaller than the sum of its proper divisors (5397648).

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

2530416 is a wasteful number, since it uses less digits than its factorization.

2530416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2530416 is about 1590.7281351633. The cubic root of 2530416 is about 136.2690751286.

Adding to 2530416 its reverse (6140352), we get a palindrome (8670768).

The spelling of 2530416 in words is "two million, five hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 443 476 714 816 886 952 1329 1428 1772 1904 2658 2856 3101 3544 5316 5712 6202 7088 7531 9303 10632 12404 15062 18606 21264 22593 24808 30124 37212 45186 49616 52717 60248 74424 90372 105434 120496 148848 158151 180744 210868 316302 361488 421736 632604 843472 1265208 2530416