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10421216 = 251324147
BaseRepresentation
bin100111110000…
…001111100000
3201121110012222
4213300033200
510131434331
61011210212
7154402361
oct47601740
921543188
1010421216
115978683
1235a6968
13220b500
141553b68
15dacb7b
hex9f03e0

10421216 has 72 divisors (see below), whose sum is σ = 23242464. Its totient is φ = 4592640.

The previous prime is 10421207. The next prime is 10421233. The reversal of 10421216 is 61212401.

It is a junction number, because it is equal to n+sod(n) for n = 10421194 and 10421203.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 221705 + ... + 221751.

It is an arithmetic number, because the mean of its divisors is an integer number (322812).

Almost surely, 210421216 is an apocalyptic number.

10421216 is a gapful number since it is divisible by the number (16) 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 10421216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11621232).

10421216 is an abundant number, since it is smaller than the sum of its proper divisors (12821248).

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

10421216 is a wasteful number, since it uses less digits than its factorization.

10421216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 10421216 is about 3228.1908245951. The cubic root of 10421216 is about 218.4269052265.

Adding to 10421216 its reverse (61212401), we get a palindrome (71633617).

The spelling of 10421216 in words is "ten million, four hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 41 47 52 82 94 104 164 169 188 208 328 338 376 416 533 611 656 676 752 1066 1222 1312 1352 1504 1927 2132 2444 2704 3854 4264 4888 5408 6929 7708 7943 8528 9776 13858 15416 15886 17056 19552 25051 27716 30832 31772 50102 55432 61664 63544 100204 110864 127088 200408 221728 254176 325663 400816 651326 801632 1302652 2605304 5210608 10421216