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10479690 = 232513353
BaseRepresentation
bin100111111110…
…100001001010
3201201102102200
4213332201022
510140322230
61012341030
7155035014
oct47764112
921642380
1010479690
115a08601
123614776
13222c000
14156b1b4
15dc0160
hex9fe84a

10479690 has 96 divisors (see below), whose sum is σ = 30073680. Its totient is φ = 2530944.

The previous prime is 10479673. The next prime is 10479691. The reversal of 10479690 is 9697401.

It can be written as a sum of positive squares in 8 ways, for example, as 233289 + 10246401 = 483^2 + 3201^2 .

It is a super-2 number, since 2×104796902 = 219647804992200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10479691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197704 + ... + 197756.

Almost surely, 210479690 is an apocalyptic number.

10479690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10479690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036840).

10479690 is an abundant number, since it is smaller than the sum of its proper divisors (19593990).

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

10479690 is a wasteful number, since it uses less digits than its factorization.

10479690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 10479690 is about 3237.2349312338. The cubic root of 10479690 is about 218.8346785091.

The spelling of 10479690 in words is "ten million, four hundred seventy-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 53 65 78 90 106 117 130 159 169 195 234 265 318 338 390 477 507 530 585 689 795 845 954 1014 1170 1378 1521 1590 1690 2067 2197 2385 2535 3042 3445 4134 4394 4770 5070 6201 6591 6890 7605 8957 10335 10985 12402 13182 15210 17914 19773 20670 21970 26871 31005 32955 39546 44785 53742 62010 65910 80613 89570 98865 116441 134355 161226 197730 232882 268710 349323 403065 582205 698646 806130 1047969 1164410 1746615 2095938 3493230 5239845 10479690