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10079010 = 2325532113
BaseRepresentation
bin100110011100…
…101100100010
3200222001210200
4212130230202
510040012020
61000010030
7151445604
oct46345442
920861720
1010079010
115764567
123460916
13211b816
1414a5174
15d41590
hex99cb22

10079010 has 48 divisors (see below), whose sum is σ = 26712504. Its totient is φ = 2635776.

The previous prime is 10078997. The next prime is 10079021. The reversal of 10079010 is 1097001.

It can be written as a sum of positive squares in 4 ways, for example, as 5631129 + 4447881 = 2373^2 + 2109^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 3714 + ... + 5826.

Almost surely, 210079010 is an apocalyptic number.

10079010 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 10079010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13356252).

10079010 is an abundant number, since it is smaller than the sum of its proper divisors (16633494).

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

10079010 is a wasteful number, since it uses less digits than its factorization.

10079010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 10079010 is about 3174.7456591040. The cubic root of 10079010 is about 216.0093874521.

Subtracting from 10079010 its reverse (1097001), we obtain a square (8982009 = 29972).

The spelling of 10079010 in words is "ten million, seventy-nine thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2113 2385 4226 4770 6339 10565 12678 19017 21130 31695 38034 63390 95085 111989 190170 223978 335967 559945 671934 1007901 1119890 1679835 2015802 3359670 5039505 10079010