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10040200 = 2352172953
BaseRepresentation
bin100110010011…
…001110001000
3200220002120021
4212103032020
510032241300
6555110224
7151224502
oct46231610
920802507
1010040200
115738395
123442374
132106c61
141494d72
15d34d1a
hex993388

10040200 has 48 divisors (see below), whose sum is σ = 24724980. Its totient is φ = 3778560.

The previous prime is 10040171. The next prime is 10040221. The reversal of 10040200 is 204001.

It can be written as a sum of positive squares in 6 ways, for example, as 6749604 + 3290596 = 2598^2 + 1814^2 .

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1924 + ... + 4876.

Almost surely, 210040200 is an apocalyptic number.

10040200 is a gapful number since it is divisible by the number (10) 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 10040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362490).

10040200 is an abundant number, since it is smaller than the sum of its proper divisors (14684780).

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

10040200 is a wasteful number, since it uses less digits than its factorization.

10040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 10040200 is about 3168.6274631140. The cubic root of 10040200 is about 215.7317772630.

Adding to 10040200 its reverse (204001), we get a palindrome (10244201).

The spelling of 10040200 in words is "ten million, forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 2953 3400 5906 11812 14765 23624 29530 50201 59060 73825 100402 118120 147650 200804 251005 295300 401608 502010 590600 1004020 1255025 2008040 2510050 5020100 10040200