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10022320 = 2457111627
BaseRepresentation
bin100110001110…
…110110110000
3200212012001001
4212032312300
510031203240
6554451344
7151121410
oct46166660
920765031
1010022320
115725a10
123433b54
1320cba89
14148c640
15d2e89a
hex98edb0

10022320 has 80 divisors (see below), whose sum is σ = 29069568. Its totient is φ = 3121920.

The previous prime is 10022303. The next prime is 10022321. The reversal of 10022320 is 2322001.

10022320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10022297 and 10022306.

It is not an unprimeable number, because it can be changed into a prime (10022321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5347 + ... + 6973.

Almost surely, 210022320 is an apocalyptic number.

10022320 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 10022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14534784).

10022320 is an abundant number, since it is smaller than the sum of its proper divisors (19047248).

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

10022320 is a wasteful number, since it uses less digits than its factorization.

10022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 10022320 is about 3165.8047949929. The cubic root of 10022320 is about 215.6036398361.

Adding to 10022320 its reverse (2322001), we get a palindrome (12344321).

The spelling of 10022320 in words is "ten million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 1627 3080 3254 6160 6508 8135 11389 13016 16270 17897 22778 26032 32540 35794 45556 56945 65080 71588 89485 91112 113890 125279 130160 143176 178970 182224 227780 250558 286352 357940 455560 501116 626395 715880 911120 1002232 1252790 1431760 2004464 2505580 5011160 10022320