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2113464 = 233107823
BaseRepresentation
bin1000000011111110111000
310222101010110
420003332320
51020112324
6113144320
723651463
oct10037670
93871113
102113464
111213971
1285b0a0
1358cc92
143d02da
152bb329
hex203fb8

2113464 has 32 divisors (see below), whose sum is σ = 5339520. Its totient is φ = 697056.

The previous prime is 2113459. The next prime is 2113469. The reversal of 2113464 is 4643112.

2113464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2113459) and next prime (2113469).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2113464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113469) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2157 + ... + 2979.

It is an arithmetic number, because the mean of its divisors is an integer number (166860).

22113464 is an apocalyptic number.

2113464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2113464 is an abundant number, since it is smaller than the sum of its proper divisors (3226056).

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

2113464 is a wasteful number, since it uses less digits than its factorization.

2113464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 935 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 2113464 is about 1453.7757736322. The cubic root of 2113464 is about 128.3310117456.

Adding to 2113464 its reverse (4643112), we get a palindrome (6756576).

The spelling of 2113464 in words is "two million, one hundred thirteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 107 214 321 428 642 823 856 1284 1646 2469 2568 3292 4938 6584 9876 19752 88061 176122 264183 352244 528366 704488 1056732 2113464