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10642940 = 2257116911
BaseRepresentation
bin101000100110…
…010111111100
3202000201100222
4220212113330
510211033230
61020040512
7156314660
oct50462774
922021328
1010642940
11600a220
123693138
1322883c9
1415b08a0
15e036e5
hexa265fc

10642940 has 48 divisors (see below), whose sum is σ = 27869184. Its totient is φ = 3316800.

The previous prime is 10642927. The next prime is 10642943. The reversal of 10642940 is 4924601.

It is a super-2 number, since 2×106429402 = 226544343687200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642943) 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 15 ways as a sum of consecutive naturals, for example, 1916 + ... + 4995.

It is an arithmetic number, because the mean of its divisors is an integer number (580608).

Almost surely, 210642940 is an apocalyptic number.

10642940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10642940 is an abundant number, since it is smaller than the sum of its proper divisors (17226244).

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

10642940 is a wasteful number, since it uses less digits than its factorization.

10642940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6938 (or 6936 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 10642940 is about 3262.3519123479. The cubic root of 10642940 is about 219.9651459936.

It can be divided in two parts, 1064 and 2940, that added together give a palindrome (4004).

The spelling of 10642940 in words is "ten million, six hundred forty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 6911 13822 27644 34555 48377 69110 76021 96754 138220 152042 193508 241885 304084 380105 483770 532147 760210 967540 1064294 1520420 2128588 2660735 5321470 10642940