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26198920 = 2351125413
BaseRepresentation
bin110001111110…
…0001110001000
31211022001011101
41203330032020
523201331140
62333311144
7435454456
oct143741610
954261141
1026198920
1113874700
1289354b4
135573b27
14369d9d6
15247799a
hex18fc388

26198920 has 48 divisors (see below), whose sum is σ = 64805580. Its totient is φ = 9525120.

The previous prime is 26198917. The next prime is 26198933. The reversal of 26198920 is 2989162.

It can be written as a sum of positive squares in 2 ways, for example, as 24940036 + 1258884 = 4994^2 + 1122^2 .

It is a super-3 number, since 3×261989203 (a number of 23 digits) contains 333 as substring.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 26198920.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2134 + ... + 7546.

Almost surely, 226198920 is an apocalyptic number.

26198920 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 26198920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32402790).

26198920 is an abundant number, since it is smaller than the sum of its proper divisors (38606660).

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

26198920 is a wasteful number, since it uses less digits than its factorization.

26198920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5446 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 26198920 is about 5118.4880580109. The cubic root of 26198920 is about 297.0032006971.

The spelling of 26198920 in words is "twenty-six million, one hundred ninety-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 5413 10826 21652 27065 43304 54130 59543 108260 119086 216520 238172 297715 476344 595430 654973 1190860 1309946 2381720 2619892 3274865 5239784 6549730 13099460 26198920