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10426140 = 2232557923
BaseRepresentation
bin100111110001…
…011100011100
3201121200222100
4213301130130
510132114030
61011245100
7154422624
oct47613434
921550870
1010426140
11598134a
1235a9790
13221081a
141555884
15dae360
hex9f171c

10426140 has 36 divisors (see below), whose sum is σ = 31626504. Its totient is φ = 2780256.

The previous prime is 10426139. The next prime is 10426147. The reversal of 10426140 is 4162401.

10426140 is a `hidden beast` number, since 10 + 42 + 614 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10426147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28782 + ... + 29141.

It is an arithmetic number, because the mean of its divisors is an integer number (878514).

Almost surely, 210426140 is an apocalyptic number.

10426140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10426140 is an abundant number, since it is smaller than the sum of its proper divisors (21200364).

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

10426140 is a wasteful number, since it uses less digits than its factorization.

10426140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57938 (or 57933 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10426140 is about 3228.9533908064. The cubic root of 10426140 is about 218.4613018756.

Adding to 10426140 its reverse (4162401), we get a palindrome (14588541).

It can be divided in two parts, 104 and 26140, that added together give a square (26244 = 1622).

The spelling of 10426140 in words is "ten million, four hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 57923 115846 173769 231692 289615 347538 521307 579230 695076 868845 1042614 1158460 1737690 2085228 2606535 3475380 5213070 10426140