Search a number
-
+
10062768 = 243297229
BaseRepresentation
bin100110011000…
…101110110000
3200221020112010
4212120232300
510034002033
6555402520
7151350342
oct46305660
920836463
1010062768
115753341
123453440
132114301
14149d292
15d3b863
hex998bb0

10062768 has 40 divisors (see below), whose sum is σ = 26895600. Its totient is φ = 3238144.

The previous prime is 10062751. The next prime is 10062769. The reversal of 10062768 is 86726001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10062769) 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 7 ways as a sum of consecutive naturals, for example, 2223 + ... + 5006.

It is an arithmetic number, because the mean of its divisors is an integer number (672390).

Almost surely, 210062768 is an apocalyptic number.

It is an amenable number.

10062768 is an abundant number, since it is smaller than the sum of its proper divisors (16832832).

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

10062768 is a wasteful number, since it uses less digits than its factorization.

10062768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7269 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 10062768 is about 3172.1866275489. The cubic root of 10062768 is about 215.8932943460.

Adding to 10062768 its reverse (86726001), we get a palindrome (96788769).

The spelling of 10062768 in words is "ten million, sixty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 7229 14458 21687 28916 43374 57832 86748 115664 173496 209641 346992 419282 628923 838564 1257846 1677128 2515692 3354256 5031384 10062768