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26680040 = 235739137
BaseRepresentation
bin110010111000…
…1101011101000
31212012111010122
41211301223220
523312230130
62351502412
7442530242
oct145615350
955174118
1026680040
1114073122
128b27a08
1356b1b0a
143787092
1525202e5
hex1971ae8

26680040 has 32 divisors (see below), whose sum is σ = 60859080. Its totient is φ = 10524672.

The previous prime is 26680019. The next prime is 26680051. The reversal of 26680040 is 4008662.

It can be written as a sum of positive squares in 4 ways, for example, as 13734436 + 12945604 = 3706^2 + 3598^2 .

It is a junction number, because it is equal to n+sod(n) for n = 26679991 and 26680009.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1649 + ... + 7488.

Almost surely, 226680040 is an apocalyptic number.

26680040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26680040 is an abundant number, since it is smaller than the sum of its proper divisors (34179040).

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

26680040 is a wasteful number, since it uses less digits than its factorization.

26680040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9221 (or 9217 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 26680040 is about 5165.2725000720. The cubic root of 26680040 is about 298.8102508569.

The spelling of 26680040 in words is "twenty-six million, six hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 9137 18274 36548 45685 73096 91370 182740 365480 667001 1334002 2668004 3335005 5336008 6670010 13340020 26680040