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10364772 = 22311233337
BaseRepresentation
bin100111100010…
…011101100100
3201111120210110
4213202131210
510123133042
61010053020
7154045665
oct47423544
921446713
1010364772
11593a230
12357a170
1321bb902
14153b36c
15d9b09c
hex9e2764

10364772 has 48 divisors (see below), whose sum is σ = 26574912. Its totient is φ = 3118080.

The previous prime is 10364771. The next prime is 10364797. The reversal of 10364772 is 27746301.

10364772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103647722 = 214856997223968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10364771) 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, 30588 + ... + 30924.

It is an arithmetic number, because the mean of its divisors is an integer number (553644).

Almost surely, 210364772 is an apocalyptic number.

10364772 is a gapful number since it is divisible by the number (12) 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 10364772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13287456).

10364772 is an abundant number, since it is smaller than the sum of its proper divisors (16210140).

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

10364772 is a wasteful number, since it uses less digits than its factorization.

10364772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 10364772 is about 3219.4365966734. The cubic root of 10364772 is about 218.0318389094.

It can be divided in two parts, 10364 and 772, that multiplied together give a palindrome (8001008).

The spelling of 10364772 in words is "ten million, three hundred sixty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 233 337 466 674 699 932 1011 1348 1398 2022 2563 2796 3707 4044 5126 7414 7689 10252 11121 14828 15378 22242 30756 44484 78521 157042 235563 314084 471126 863731 942252 1727462 2591193 3454924 5182386 10364772