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2500704 = 253219457
BaseRepresentation
bin1001100010100001100000
311201001022200
421202201200
51120010304
6125333200
730153453
oct11424140
94631280
102500704
1114588a8
12a07200
1369730b
1449149a
15345e39
hex262860

2500704 has 72 divisors (see below), whose sum is σ = 7502040. Its totient is φ = 787968.

The previous prime is 2500679. The next prime is 2500709. The reversal of 2500704 is 4070052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2500709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5244 + ... + 5700.

It is an arithmetic number, because the mean of its divisors is an integer number (104195).

22500704 is an apocalyptic number.

2500704 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 2500704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751020).

2500704 is an abundant number, since it is smaller than the sum of its proper divisors (5001336).

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

2500704 is a wasteful number, since it uses less digits than its factorization.

2500704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2500704 is about 1581.3614387609. The cubic root of 2500704 is about 135.7336193008.

Adding to 2500704 its reverse (4070052), we get a palindrome (6570756).

The spelling of 2500704 in words is "two million, five hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 457 608 684 912 914 1368 1371 1824 1828 2736 2742 3656 4113 5472 5484 7312 8226 8683 10968 14624 16452 17366 21936 26049 32904 34732 43872 52098 65808 69464 78147 104196 131616 138928 156294 208392 277856 312588 416784 625176 833568 1250352 2500704