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10223680 = 26543743
BaseRepresentation
bin100111000000…
…000001000000
3201020102020211
4213000001000
510104124210
61003043504
7152620435
oct47000100
921212224
1010223680
115853225
123510594
13216c61c
141501b8c
15d6e38a
hex9c0040

10223680 has 56 divisors (see below), whose sum is σ = 24944832. Its totient is φ = 3988992.

The previous prime is 10223671. The next prime is 10223693. The reversal of 10223680 is 8632201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13389 + ... + 14131.

Almost surely, 210223680 is an apocalyptic number.

10223680 is a gapful number since it is divisible by the number (10) 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 10223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12472416).

10223680 is an abundant number, since it is smaller than the sum of its proper divisors (14721152).

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

10223680 is an equidigital number, since it uses as much as digits as its factorization.

10223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 10223680 is about 3197.4489831739. The cubic root of 10223680 is about 217.0379852381.

Adding to 10223680 its reverse (8632201), we get a palindrome (18855881).

The spelling of 10223680 in words is "ten million, two hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 743 860 1376 1486 1720 2752 2972 3440 3715 5944 6880 7430 11888 13760 14860 23776 29720 31949 47552 59440 63898 118880 127796 159745 237760 255592 319490 511184 638980 1022368 1277960 2044736 2555920 5111840 10223680