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10072674 = 23497641
BaseRepresentation
bin100110011011…
…001001100010
3200221202010000
4212123021202
510034311144
6555520430
7151421253
oct46331142
920852100
1010072674
11575a827
123459116
132118981
1414a2b2a
15d3e769
hex99b262

10072674 has 40 divisors (see below), whose sum is σ = 22838508. Its totient is φ = 3317760.

The previous prime is 10072663. The next prime is 10072681. The reversal of 10072674 is 47627001.

It can be written as a sum of positive squares in 2 ways, for example, as 9641025 + 431649 = 3105^2 + 657^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 15394 + ... + 16034.

Almost surely, 210072674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10072674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11419254).

10072674 is an abundant number, since it is smaller than the sum of its proper divisors (12765834).

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

10072674 is an equidigital number, since it uses as much as digits as its factorization.

10072674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 10072674 is about 3173.7476270176. The cubic root of 10072674 is about 215.9641144088.

Adding to 10072674 its reverse (47627001), we get a palindrome (57699675).

The spelling of 10072674 in words is "ten million, seventy-two thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 291 582 641 873 1282 1746 1923 2619 3846 5238 5769 7857 11538 15714 17307 34614 51921 62177 103842 124354 186531 373062 559593 1119186 1678779 3357558 5036337 10072674