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26876340 = 2233571701
BaseRepresentation
bin110011010000…
…1100110110100
31212120110102000
41212201212310
523340020330
62400015300
7444305451
oct146414664
955513360
1026876340
1114197657
129001530
13575027a
1437d8828
15255d560
hex19a19b4

26876340 has 96 divisors (see below), whose sum is σ = 84913920. Its totient is φ = 7056000.

The previous prime is 26876281. The next prime is 26876341. The reversal of 26876340 is 4367862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26876295 and 26876304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26876341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37990 + ... + 38690.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 226876340 is an apocalyptic number.

26876340 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 26876340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

26876340 is an abundant number, since it is smaller than the sum of its proper divisors (58037580).

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

26876340 is a wasteful number, since it uses less digits than its factorization.

26876340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 26876340 is about 5184.2395777973. The cubic root of 26876340 is about 299.5412990021.

The spelling of 26876340 in words is "twenty-six million, eight hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 135 142 180 213 270 284 355 426 540 639 701 710 852 1065 1278 1402 1420 1917 2103 2130 2556 2804 3195 3505 3834 4206 4260 6309 6390 7010 7668 8412 9585 10515 12618 12780 14020 18927 19170 21030 25236 31545 37854 38340 42060 49771 63090 75708 94635 99542 126180 149313 189270 199084 248855 298626 378540 447939 497710 597252 746565 895878 995420 1343817 1493130 1791756 2239695 2687634 2986260 4479390 5375268 6719085 8958780 13438170 26876340