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26413320 = 23351032137
BaseRepresentation
bin110010011000…
…0100100001000
31211200221021010
41210300210020
523230211240
62342043520
7440336523
oct144604410
954627233
1026413320
1113a0079a
128a195a0
13561a5ab
143717bba
1524bb280
hex1930908

26413320 has 64 divisors (see below), whose sum is σ = 80046720. Its totient is φ = 6971904.

The previous prime is 26413319. The next prime is 26413327. The reversal of 26413320 is 2331462.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (26413327) 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, 11292 + ... + 13428.

It is an arithmetic number, because the mean of its divisors is an integer number (1250730).

Almost surely, 226413320 is an apocalyptic number.

26413320 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 26413320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40023360).

26413320 is an abundant number, since it is smaller than the sum of its proper divisors (53633400).

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

26413320 is a wasteful number, since it uses less digits than its factorization.

26413320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 26413320 is about 5139.3890687513. The cubic root of 26413320 is about 297.8111801759.

Adding to 26413320 its reverse (2331462), we get a palindrome (28744782).

The spelling of 26413320 in words is "twenty-six million, four hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2137 2472 3090 4120 4274 6180 6411 8548 10685 12360 12822 17096 21370 25644 32055 42740 51288 64110 85480 128220 220111 256440 440222 660333 880444 1100555 1320666 1760888 2201110 2641332 3301665 4402220 5282664 6603330 8804440 13206660 26413320