Search a number
-
+
10062120 = 2335711181
BaseRepresentation
bin100110011000…
…100100101000
3200221012122010
4212120210220
510033441440
6555355520
7151345425
oct46304450
920835563
1010062120
115752902
123452ba0
132113c23
14149cd4c
15d3b580
hex998928

10062120 has 64 divisors (see below), whose sum is σ = 30637440. Its totient is φ = 2643200.

The previous prime is 10062067. The next prime is 10062121. The reversal of 10062120 is 2126001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10062096 and 10062105.

It is not an unprimeable number, because it can be changed into a prime (10062121) 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, 7930 + ... + 9110.

It is an arithmetic number, because the mean of its divisors is an integer number (478710).

Almost surely, 210062120 is an apocalyptic number.

10062120 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 10062120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15318720).

10062120 is an abundant number, since it is smaller than the sum of its proper divisors (20575320).

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

10062120 is a wasteful number, since it uses less digits than its factorization.

10062120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10062120 is about 3172.0844881560. The cubic root of 10062120 is about 215.8886600394. Note that the first 3 decimals are identical.

Adding to 10062120 its reverse (2126001), we get a palindrome (12188121).

The spelling of 10062120 in words is "ten million, sixty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1181 1420 1704 2130 2362 2840 3543 4260 4724 5905 7086 8520 9448 11810 14172 17715 23620 28344 35430 47240 70860 83851 141720 167702 251553 335404 419255 503106 670808 838510 1006212 1257765 1677020 2012424 2515530 3354040 5031060 10062120