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10022040 = 2332574197
BaseRepresentation
bin100110001110…
…110010011000
3200212011122200
4212032302120
510031201130
6554450200
7151120530
oct46166230
920764580
1010022040
115725786
123433960
1320cb902
14148c4c0
15d2e760
hex98ec98

10022040 has 192 divisors, whose sum is σ = 38525760. Its totient is φ = 2211840.

The previous prime is 10022017. The next prime is 10022041. The reversal of 10022040 is 4022001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022041) 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 47 ways as a sum of consecutive naturals, for example, 103272 + ... + 103368.

It is an arithmetic number, because the mean of its divisors is an integer number (200655).

Almost surely, 210022040 is an apocalyptic number.

10022040 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 10022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

10022040 is an abundant number, since it is smaller than the sum of its proper divisors (28503720).

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

10022040 is a wasteful number, since it uses less digits than its factorization.

10022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10022040 is about 3165.7605721217. The cubic root of 10022040 is about 215.6016319982.

Adding to 10022040 its reverse (4022001), we get a palindrome (14044041).

The spelling of 10022040 in words is "ten million, twenty-two thousand, forty".