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21431020 = 22513139593
BaseRepresentation
bin101000111000…
…0001011101100
31111022210211111
41101300023230
520441243040
62043201404
7350106052
oct121601354
944283744
1021431020
1111108496
127216264
1345948a0
142bbc1d2
151d34dea
hex14702ec

21431020 has 48 divisors (see below), whose sum is σ = 48898080. Its totient is φ = 7842816.

The previous prime is 21431017. The next prime is 21431023. The reversal of 21431020 is 2013412.

It is an interprime number because it is at equal distance from previous prime (21431017) and next prime (21431023).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21431023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35844 + ... + 36436.

It is an arithmetic number, because the mean of its divisors is an integer number (1018710).

Almost surely, 221431020 is an apocalyptic number.

21431020 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 21431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24449040).

21431020 is an abundant number, since it is smaller than the sum of its proper divisors (27467060).

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

21431020 is a wasteful number, since it uses less digits than its factorization.

21431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 21431020 is about 4629.3649672498. The cubic root of 21431020 is about 277.7671911817.

Adding to 21431020 its reverse (2013412), we get a palindrome (23444432).

The spelling of 21431020 in words is "twenty-one million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 260 278 556 593 695 1186 1390 1807 2372 2780 2965 3614 5930 7228 7709 9035 11860 15418 18070 30836 36140 38545 77090 82427 154180 164854 329708 412135 824270 1071551 1648540 2143102 4286204 5357755 10715510 21431020