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7868380 = 2251353571
BaseRepresentation
bin11110000000111111011100
3112210202101111
4132000333130
54003242010
6440351404
7123610612
oct36007734
915722344
107868380
1144946a3
122775564
131826560
14108b6b2
15a5658a
hex780fdc

7868380 has 48 divisors (see below), whose sum is σ = 18162144. Its totient is φ = 2845440.

The previous prime is 7868363. The next prime is 7868381. The reversal of 7868380 is 838687.

It is a super-2 number, since 2×78683802 = 123822807648800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7868381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13495 + ... + 14065.

It is an arithmetic number, because the mean of its divisors is an integer number (378378).

Almost surely, 27868380 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 7868380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081072).

7868380 is an abundant number, since it is smaller than the sum of its proper divisors (10293764).

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

7868380 is a wasteful number, since it uses less digits than its factorization.

7868380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 7868380 is about 2805.0632791436. The cubic root of 7868380 is about 198.8970958587.

The spelling of 7868380 in words is "seven million, eight hundred sixty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 571 689 1060 1142 1378 2284 2756 2855 3445 5710 6890 7423 11420 13780 14846 29692 30263 37115 60526 74230 121052 148460 151315 302630 393419 605260 786838 1573676 1967095 3934190 7868380