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26869770 = 2325378069
BaseRepresentation
bin110011010000…
…0000000001010
31212120010101200
41212200000022
523334313040
62355525030
7444250344
oct146400012
955503350
1026869770
1114192724
128bb9776
13574a295
1437d6294
15255b630
hex19a000a

26869770 has 48 divisors (see below), whose sum is σ = 71758440. Its totient is φ = 6970752.

The previous prime is 26869769. The next prime is 26869811. The reversal of 26869770 is 7796862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18173169 + 8696601 = 4263^2 + 2949^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 705 + ... + 7364.

Almost surely, 226869770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26869770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35879220).

26869770 is an abundant number, since it is smaller than the sum of its proper divisors (44888670).

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

26869770 is a wasteful number, since it uses less digits than its factorization.

26869770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8119 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 26869770 is about 5183.6058877966. The cubic root of 26869770 is about 299.5168890971.

The spelling of 26869770 in words is "twenty-six million, eight hundred sixty-nine thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 8069 16138 24207 40345 48414 72621 80690 121035 145242 242070 298553 363105 597106 726210 895659 1492765 1791318 2686977 2985530 4478295 5373954 8956590 13434885 26869770