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2465064 = 233276773
BaseRepresentation
bin1001011001110100101000
311122020102200
421121310220
51112340224
6124500200
726644530
oct11316450
94566380
102465064
111434048
129aa660
13684024
144824c0
1533a5c9
hex259d28

2465064 has 96 divisors (see below), whose sum is σ = 7849920. Its totient is φ = 684288.

The previous prime is 2465063. The next prime is 2465081. The reversal of 2465064 is 4605642.

It is a happy number.

2465064 is a `hidden beast` number, since 2 + 4 + 650 + 6 + 4 = 666.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2465063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33732 + ... + 33804.

It is an arithmetic number, because the mean of its divisors is an integer number (81770).

22465064 is an apocalyptic number.

2465064 is a gapful number since it is divisible by the number (24) 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 2465064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924960).

2465064 is an abundant number, since it is smaller than the sum of its proper divisors (5384856).

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

2465064 is a wasteful number, since it uses less digits than its factorization.

2465064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2465064 is about 1570.0522284306. The cubic root of 2465064 is about 135.0857068930.

The spelling of 2465064 in words is "two million, four hundred sixty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 73 84 126 134 146 168 201 219 252 268 292 402 438 469 504 511 536 584 603 657 804 876 938 1022 1206 1314 1407 1533 1608 1752 1876 2044 2412 2628 2814 3066 3752 4088 4221 4599 4824 4891 5256 5628 6132 8442 9198 9782 11256 12264 14673 16884 18396 19564 29346 33768 34237 36792 39128 44019 58692 68474 88038 102711 117384 136948 176076 205422 273896 308133 352152 410844 616266 821688 1232532 2465064