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20462442 = 23711133407
BaseRepresentation
bin100111000001…
…1101101101010
31102111121012020
41032003231222
520214244232
62010325310
7335633160
oct116035552
942447166
1020462442
1110606810
126a29836
134315a70
142a09230
151be2e2c
hex1383b6a

20462442 has 64 divisors (see below), whose sum is σ = 54964224. Its totient is φ = 4904640.

The previous prime is 20462423. The next prime is 20462459. The reversal of 20462442 is 24426402.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4303 + ... + 7709.

It is an arithmetic number, because the mean of its divisors is an integer number (858816).

Almost surely, 220462442 is an apocalyptic number.

20462442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20462442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27482112).

20462442 is an abundant number, since it is smaller than the sum of its proper divisors (34501782).

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

20462442 is a wasteful number, since it uses less digits than its factorization.

20462442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 20462442 is about 4523.5430803741. The cubic root of 20462442 is about 273.5179422449.

Adding to 20462442 its reverse (24426402), we get a palindrome (44888844).

The spelling of 20462442 in words is "twenty million, four hundred sixty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 3407 6006 6814 10221 20442 23849 37477 44291 47698 71547 74954 88582 112431 132873 143094 224862 262339 265746 310037 487201 524678 620074 787017 930111 974402 1461603 1574034 1860222 2923206 3410407 6820814 10231221 20462442