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26034140 = 22511176961
BaseRepresentation
bin110001101001…
…1111111011100
31210222200010102
41203103333130
523131043030
62330000232
7434200166
oct143237734
953880112
1026034140
1113771920
128876078
135516b22
143659936
152443c45
hex18d3fdc

26034140 has 48 divisors (see below), whose sum is σ = 63159264. Its totient is φ = 8908800.

The previous prime is 26034101. The next prime is 26034149. The reversal of 26034140 is 4143062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26034149) 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, 260 + ... + 7220.

It is an arithmetic number, because the mean of its divisors is an integer number (1315818).

Almost surely, 226034140 is an apocalyptic number.

26034140 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 26034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31579632).

26034140 is an abundant number, since it is smaller than the sum of its proper divisors (37125124).

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

26034140 is a wasteful number, since it uses less digits than its factorization.

26034140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6998 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 26034140 is about 5102.3661177928. The cubic root of 26034140 is about 296.3792163023.

The spelling of 26034140 in words is "twenty-six million, thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 6961 13922 27844 34805 69610 76571 118337 139220 153142 236674 306284 382855 473348 591685 765710 1183370 1301707 1531420 2366740 2603414 5206828 6508535 13017070 26034140