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10021440 = 2635111373
BaseRepresentation
bin100110001110…
…101001000000
3200212010211110
4212032221000
510031141230
6554443320
7151116012
oct46165100
920763743
1010021440
115725290
123433540
1320cb560
14148c1b2
15d2e4b0
hex98ea40

10021440 has 224 divisors, whose sum is σ = 37892736. Its totient is φ = 2211840.

The previous prime is 10021439. The next prime is 10021457. The reversal of 10021440 is 4412001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137244 + ... + 137316.

It is an arithmetic number, because the mean of its divisors is an integer number (169164).

Almost surely, 210021440 is an apocalyptic number.

10021440 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 10021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18946368).

10021440 is an abundant number, since it is smaller than the sum of its proper divisors (27871296).

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

10021440 is a wasteful number, since it uses less digits than its factorization.

10021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10021440 is about 3165.6658067459. The cubic root of 10021440 is about 215.5973293625.

Adding to 10021440 its reverse (4412001), we get a palindrome (14433441).

It can be divided in two parts, 1002 and 1440, that added together give a palindrome (2442).

The spelling of 10021440 in words is "ten million, twenty-one thousand, four hundred forty".