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20424712 = 2371171467
BaseRepresentation
bin100110111101…
…0100000001000
31102102200102211
41031322200020
520212042322
62005434504
7335415160
oct115724010
942380384
1020424712
1110590430
126a0ba34
134301839
1429d95a0
151bd6b77
hex137a808

20424712 has 64 divisors (see below), whose sum is σ = 48522240. Its totient is φ = 7828800.

The previous prime is 20424707. The next prime is 20424721. The reversal of 20424712 is 21742402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43503 + ... + 43969.

It is an arithmetic number, because the mean of its divisors is an integer number (758160).

Almost surely, 220424712 is an apocalyptic number.

20424712 is a gapful number since it is divisible by the number (22) 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 20424712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24261120).

20424712 is an abundant number, since it is smaller than the sum of its proper divisors (28097528).

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

20424712 is a wasteful number, since it uses less digits than its factorization.

20424712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 20424712 is about 4519.3707526602. The cubic root of 20424712 is about 273.3497286748.

The spelling of 20424712 in words is "twenty million, four hundred twenty-four thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 71 77 88 142 154 284 308 467 497 568 616 781 934 994 1562 1868 1988 3124 3269 3736 3976 5137 5467 6248 6538 10274 10934 13076 20548 21868 26152 33157 35959 41096 43736 66314 71918 132628 143836 232099 265256 287672 364727 464198 729454 928396 1458908 1856792 2553089 2917816 5106178 10212356 20424712