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26680984 = 2311243641
BaseRepresentation
bin110010111000…
…1111010011000
31212012112102121
41211301322120
523312242414
62351511024
7442533061
oct145617230
955175377
1026680984
1114073900
128b28474
1356b2385
143787568
152520724
hex1971e98

26680984 has 48 divisors (see below), whose sum is σ = 56354760. Its totient is φ = 11827200.

The previous prime is 26680963. The next prime is 26680991. The reversal of 26680984 is 48908662.

It is a happy number.

26680984 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 26680984.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 41304 + ... + 41944.

Almost surely, 226680984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26680984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28177380).

26680984 is an abundant number, since it is smaller than the sum of its proper divisors (29673776).

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

26680984 is a wasteful number, since it uses less digits than its factorization.

26680984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 26680984 is about 5165.3638787601. The cubic root of 26680984 is about 298.8137750089.

The spelling of 26680984 in words is "twenty-six million, six hundred eighty thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 121 172 242 344 473 484 641 946 968 1282 1892 2564 3784 5128 5203 7051 10406 14102 20812 27563 28204 41624 55126 56408 77561 110252 155122 220504 303193 310244 606386 620488 1212772 2425544 3335123 6670246 13340492 26680984