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10020010 = 2572112132
BaseRepresentation
bin100110001110…
…010010101010
3200212001212111
4212032102222
510031120020
6554432534
7151111600
oct46162252
920761774
1010020010
115724200
12343274a
1320caa00
14148b870
15d2dd5a
hex98e4aa

10020010 has 108 divisors (see below), whose sum is σ = 24971814. Its totient is φ = 2882880.

The previous prime is 10019983. The next prime is 10020013. The reversal of 10020010 is 1002001.

It can be written as a sum of positive squares in 3 ways, for example, as 4322241 + 5697769 = 2079^2 + 2387^2 .

It is not an unprimeable number, because it can be changed into a prime (10020013) 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 53 ways as a sum of consecutive naturals, for example, 770764 + ... + 770776.

Almost surely, 210020010 is an apocalyptic number.

10020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10020010 is an abundant number, since it is smaller than the sum of its proper divisors (14951804).

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

10020010 is a wasteful number, since it uses less digits than its factorization.

10020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 10020010 is about 3165.4399378285. The cubic root of 10020010 is about 215.5870740550.

Adding to 10020010 its reverse (1002001), we get a palindrome (11022011).

Subtracting from 10020010 its reverse (1002001), we obtain a square (9018009 = 30032).

It can be divided in two parts, 100 and 20010, that multiplied together give a triangular number (2001000 = T2000).

The spelling of 10020010 in words is "ten million, twenty thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 49 55 65 70 77 91 98 110 121 130 143 154 169 182 242 245 286 338 385 455 490 539 605 637 715 770 845 847 910 1001 1078 1183 1210 1274 1430 1573 1690 1694 1859 2002 2366 2695 3146 3185 3718 4235 5005 5390 5915 5929 6370 7007 7865 8281 8470 9295 10010 11011 11830 11858 13013 14014 15730 16562 18590 20449 22022 26026 29645 35035 40898 41405 55055 59290 65065 70070 77077 82810 91091 102245 110110 130130 143143 154154 182182 204490 286286 385385 455455 715715 770770 910910 1002001 1431430 2004002 5010005 10020010