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21431040 = 28355581
BaseRepresentation
bin101000111000…
…0001100000000
31111022210212020
41101300030000
520441243130
62043201440
7350106111
oct121601400
944283766
1021431040
1111108504
127216280
1345948b7
142bbc208
151d34e10
hex1470300

21431040 has 72 divisors (see below), whose sum is σ = 68457648. Its totient is φ = 5713920.

The previous prime is 21431023. The next prime is 21431057. The reversal of 21431040 is 4013412.

It is an interprime number because it is at equal distance from previous prime (21431023) and next prime (21431057).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1050 + ... + 6630.

Almost surely, 221431040 is an apocalyptic number.

21431040 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 21431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34228824).

21431040 is an abundant number, since it is smaller than the sum of its proper divisors (47026608).

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

21431040 is an equidigital number, since it uses as much as digits as its factorization.

21431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 21431040 is about 4629.3671273728. The cubic root of 21431040 is about 277.7672775883.

Adding to 21431040 its reverse (4013412), we get a palindrome (25444452).

The spelling of 21431040 in words is "twenty-one million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 5581 11162 16743 22324 27905 33486 44648 55810 66972 83715 89296 111620 133944 167430 178592 223240 267888 334860 357184 446480 535776 669720 714368 892960 1071552 1339440 1428736 1785920 2143104 2678880 3571840 4286208 5357760 7143680 10715520 21431040