Search a number
-
+
26674740 = 22325148193
BaseRepresentation
bin110010111000…
…0011000110100
31212012012212100
41211300120310
523312042430
62351422100
7442505631
oct145603064
955165770
1026674740
111406a144
128b24930
1356ac591
143785188
15251d960
hex1970634

26674740 has 36 divisors (see below), whose sum is σ = 80913924. Its totient is φ = 7113216.

The previous prime is 26674729. The next prime is 26674763. The reversal of 26674740 is 4747662.

It can be written as a sum of positive squares in 2 ways, for example, as 13972644 + 12702096 = 3738^2 + 3564^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26674695 and 26674704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73917 + ... + 74276.

It is an arithmetic number, because the mean of its divisors is an integer number (2247609).

Almost surely, 226674740 is an apocalyptic number.

26674740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26674740 is an abundant number, since it is smaller than the sum of its proper divisors (54239184).

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

26674740 is a wasteful number, since it uses less digits than its factorization.

26674740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148208 (or 148203 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 26674740 is about 5164.7594329262. The cubic root of 26674740 is about 298.7904632903.

The spelling of 26674740 in words is "twenty-six million, six hundred seventy-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 148193 296386 444579 592772 740965 889158 1333737 1481930 1778316 2222895 2667474 2963860 4445790 5334948 6668685 8891580 13337370 26674740