Base | Representation |
---|---|
bin | 101000101101… |
… | …100110110000 |
3 | 202002020000000 |
4 | 220231212300 |
5 | 10213010220 |
6 | 1020430000 |
7 | 156500223 |
oct | 50554660 |
9 | 22066000 |
10 | 10672560 |
11 | 602a4a8 |
12 | 36a8300 |
13 | 2298a32 |
14 | 15bb5ba |
15 | e0c390 |
hex | a2d9b0 |
10672560 has 160 divisors (see below), whose sum is σ = 37824960. Its totient is φ = 2799360.
The previous prime is 10672553. The next prime is 10672567. The reversal of 10672560 is 6527601.
It is an interprime number because it is at equal distance from previous prime (10672553) and next prime (10672567).
It is a super-2 number, since 2×106725602 = 227807073907200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10672567) 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 31 ways as a sum of consecutive naturals, for example, 174930 + ... + 174990.
It is an arithmetic number, because the mean of its divisors is an integer number (236406).
Almost surely, 210672560 is an apocalyptic number.
10672560 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 10672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18912480).
10672560 is an abundant number, since it is smaller than the sum of its proper divisors (27152400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10672560 is an frugal number, since it uses more digits than its factorization.
10672560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 95 (or 71 counting only the distinct ones).
The product of its (nonzero) digits is 2520, while the sum is 27.
The square root of 10672560 is about 3266.8884278469. Note that the first 3 decimals coincide. The cubic root of 10672560 is about 220.1690161248.
The spelling of 10672560 in words is "ten million, six hundred seventy-two thousand, five hundred sixty".
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