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26863980 = 2235111331101
BaseRepresentation
bin110011001111…
…0100101101100
31212112211110020
41212132211230
523334121410
62355442140
7444224433
oct146364554
955484406
1026863980
1114189340
128bb6350
135747760
1437d411a
152559a70
hex199e96c

26863980 has 192 divisors, whose sum is σ = 92123136. Its totient is φ = 5760000.

The previous prime is 26863943. The next prime is 26863987. The reversal of 26863980 is 8936862.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26863987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265930 + ... + 266030.

It is an arithmetic number, because the mean of its divisors is an integer number (479808).

Almost surely, 226863980 is an apocalyptic number.

26863980 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 26863980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46061568).

26863980 is an abundant number, since it is smaller than the sum of its proper divisors (65259156).

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

26863980 is a wasteful number, since it uses less digits than its factorization.

26863980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 26863980 is about 5183.0473661737. The cubic root of 26863980 is about 299.4953738731.

It can be divided in two parts, 2686 and 3980, that added together give a palindrome (6666).

The spelling of 26863980 in words is "twenty-six million, eight hundred sixty-three thousand, nine hundred eighty".