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10215772 = 2272329547
BaseRepresentation
bin100110111110…
…000101011100
3201020000101221
4212332011130
510103401042
61002543124
7152555410
oct46760534
921200357
1010215772
115848296
123507aa4
132168b48
1414dcd40
15d6bd67
hex9be15c

10215772 has 48 divisors (see below), whose sum is σ = 22095360. Its totient is φ = 4036032.

The previous prime is 10215763. The next prime is 10215781. The reversal of 10215772 is 27751201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10215763) and next prime (10215781).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18403 + ... + 18949.

It is an arithmetic number, because the mean of its divisors is an integer number (460320).

Almost surely, 210215772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10215772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11047680).

10215772 is an abundant number, since it is smaller than the sum of its proper divisors (11879588).

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

10215772 is a wasteful number, since it uses less digits than its factorization.

10215772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 10215772 is about 3196.2121331351. The cubic root of 10215772 is about 216.9820112931.

Adding to 10215772 its reverse (27751201), we get a palindrome (37966973).

The spelling of 10215772 in words is "ten million, two hundred fifteen thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 23 28 29 46 58 92 116 161 203 322 406 547 644 667 812 1094 1334 2188 2668 3829 4669 7658 9338 12581 15316 15863 18676 25162 31726 50324 63452 88067 111041 176134 222082 352268 364849 444164 729698 1459396 2553943 5107886 10215772