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2513104 = 2411109131
BaseRepresentation
bin1001100101100011010000
311201200022221
421211203100
51120404404
6125510424
730234556
oct11454320
94650287
102513104
111467150
12a12414
1369cb59
14495bd6
15349954
hex2658d0

2513104 has 40 divisors (see below), whose sum is σ = 5401440. Its totient is φ = 1123200.

The previous prime is 2513089. The next prime is 2513107. The reversal of 2513104 is 4013152.

It is a super-3 number, since 3×25131043 = 47615970333812846592, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19119 + ... + 19249.

It is an arithmetic number, because the mean of its divisors is an integer number (135036).

22513104 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 2513104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700720).

2513104 is an abundant number, since it is smaller than the sum of its proper divisors (2888336).

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

2513104 is a wasteful number, since it uses less digits than its factorization.

2513104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2513104 is about 1585.2772628156. The cubic root of 2513104 is about 135.9575992388.

Adding to 2513104 its reverse (4013152), we get a palindrome (6526256).

The spelling of 2513104 in words is "two million, five hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 109 131 176 218 262 436 524 872 1048 1199 1441 1744 2096 2398 2882 4796 5764 9592 11528 14279 19184 23056 28558 57116 114232 157069 228464 314138 628276 1256552 2513104