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10042516 = 2211220749
BaseRepresentation
bin100110010011…
…110010010100
3200220012202001
4212103302110
510032330031
6555125044
7151234321
oct46236224
920805661
1010042516
11573a100
123443784
132108023
141495b48
15d35861
hex993c94

10042516 has 18 divisors (see below), whose sum is σ = 19318250. Its totient is φ = 4564560.

The previous prime is 10042489. The next prime is 10042523. The reversal of 10042516 is 61524001.

It can be written as a sum of positive squares in only one way, i.e., 5856400 + 4186116 = 2420^2 + 2046^2 .

It is a super-2 number, since 2×100425162 = 201704255220512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10042493 and 10042502.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 9891 + ... + 10858.

Almost surely, 210042516 is an apocalyptic number.

It is an amenable number.

10042516 is a deficient number, since it is larger than the sum of its proper divisors (9275734).

10042516 is a wasteful number, since it uses less digits than its factorization.

10042516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20775 (or 20762 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 10042516 is about 3168.9928999605. The cubic root of 10042516 is about 215.7483637979.

Adding to 10042516 its reverse (61524001), we get a palindrome (71566517).

The spelling of 10042516 in words is "ten million, forty-two thousand, five hundred sixteen".

Divisors: 1 2 4 11 22 44 121 242 484 20749 41498 82996 228239 456478 912956 2510629 5021258 10042516