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10215420 = 2235891913
BaseRepresentation
bin100110111101…
…111111111100
3201012222220220
4212331333330
510103343140
61002541340
7152554365
oct46757774
921188826
1010215420
115847aa6
123507850
132168937
1414dcb6c
15d6bbd0
hex9bdffc

10215420 has 48 divisors (see below), whose sum is σ = 28939680. Its totient is φ = 2692096.

The previous prime is 10215389. The next prime is 10215421. The reversal of 10215420 is 2451201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10215420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10215421) 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, 4384 + ... + 6296.

It is an arithmetic number, because the mean of its divisors is an integer number (602910).

Almost surely, 210215420 is an apocalyptic number.

10215420 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 10215420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14469840).

10215420 is an abundant number, since it is smaller than the sum of its proper divisors (18724260).

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

10215420 is a wasteful number, since it uses less digits than its factorization.

10215420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 10215420 is about 3196.1570674796. The cubic root of 10215420 is about 216.9795191158.

Adding to 10215420 its reverse (2451201), we get a palindrome (12666621).

It can be divided in two parts, 1021 and 5420, that added together give a triangular number (6441 = T113).

The spelling of 10215420 in words is "ten million, two hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 1913 2670 3826 5340 5739 7652 9565 11478 19130 22956 28695 38260 57390 114780 170257 340514 510771 681028 851285 1021542 1702570 2043084 2553855 3405140 5107710 10215420