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26640680 = 23511191317
BaseRepresentation
bin110010110100…
…0000100101000
31212010111010212
41211220010220
523310000210
62351000252
7442304423
oct145500450
955114125
1026640680
11140465a0
128b09088
135699c21
1437769ba
152513805
hex1968128

26640680 has 64 divisors (see below), whose sum is σ = 65940480. Its totient is φ = 9606400.

The previous prime is 26640671. The next prime is 26640689. The reversal of 26640680 is 8604662.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26640671) and next prime (26640689).

It is not an unprimeable number, because it can be changed into a prime (26640689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83882 + ... + 84198.

It is an arithmetic number, because the mean of its divisors is an integer number (1030320).

Almost surely, 226640680 is an apocalyptic number.

26640680 is a gapful number since it is divisible by the number (20) 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 26640680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32970240).

26640680 is an abundant number, since it is smaller than the sum of its proper divisors (39299800).

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

26640680 is a wasteful number, since it uses less digits than its factorization.

26640680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 26640680 is about 5161.4610334672. The cubic root of 26640680 is about 298.6632375864.

The spelling of 26640680 in words is "twenty-six million, six hundred forty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 191 220 317 382 440 634 764 955 1268 1528 1585 1910 2101 2536 3170 3487 3820 4202 6340 6974 7640 8404 10505 12680 13948 16808 17435 21010 27896 34870 42020 60547 69740 84040 121094 139480 242188 302735 484376 605470 666017 1210940 1332034 2421880 2664068 3330085 5328136 6660170 13320340 26640680