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26680180 = 22519611151
BaseRepresentation
bin110010111000…
…1101101110100
31212012111022211
41211301231310
523312231210
62351503204
7442530532
oct145615564
955174284
1026680180
111407323a
128b27b04
1356b1bb7
143787152
15252038a
hex1971b74

26680180 has 48 divisors (see below), whose sum is σ = 59996160. Its totient is φ = 9936000.

The previous prime is 26680169. The next prime is 26680183. The reversal of 26680180 is 8108662.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26680183) 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, 22605 + ... + 23755.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 226680180 is an apocalyptic number.

26680180 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 26680180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998080).

26680180 is an abundant number, since it is smaller than the sum of its proper divisors (33315980).

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

26680180 is a wasteful number, since it uses less digits than its factorization.

26680180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 26680180 is about 5165.2860520982. The cubic root of 26680180 is about 298.8107735118.

The spelling of 26680180 in words is "twenty-six million, six hundred eighty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 61 76 95 122 190 244 305 380 610 1151 1159 1220 2302 2318 4604 4636 5755 5795 11510 11590 21869 23020 23180 43738 70211 87476 109345 140422 218690 280844 351055 437380 702110 1334009 1404220 2668018 5336036 6670045 13340090 26680180