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10050820 = 22513293143
BaseRepresentation
bin100110010101…
…110100000100
3200220122010121
4212111310010
510033111240
6555231324
7151300453
oct46256404
920818117
1010050820
11574536a
123448544
13210ba40
141498b9a
15d3804a
hex995d04

10050820 has 96 divisors (see below), whose sum is σ = 24837120. Its totient is φ = 3386880.

The previous prime is 10050797. The next prime is 10050823. The reversal of 10050820 is 2805001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10050794 and 10050803.

It is not an unprimeable number, because it can be changed into a prime (10050823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233719 + ... + 233761.

It is an arithmetic number, because the mean of its divisors is an integer number (258720).

Almost surely, 210050820 is an apocalyptic number.

10050820 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 10050820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418560).

10050820 is an abundant number, since it is smaller than the sum of its proper divisors (14786300).

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

10050820 is a wasteful number, since it uses less digits than its factorization.

10050820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 10050820 is about 3170.3028246526. The cubic root of 10050820 is about 215.8078137350.

Adding to 10050820 its reverse (2805001), we get a palindrome (12855821).

The spelling of 10050820 in words is "ten million, fifty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 31 43 52 58 62 65 86 116 124 130 145 155 172 215 260 290 310 377 403 430 559 580 620 754 806 860 899 1118 1247 1333 1508 1612 1798 1885 2015 2236 2494 2666 2795 3596 3770 4030 4495 4988 5332 5590 6235 6665 7540 8060 8990 11180 11687 12470 13330 16211 17329 17980 23374 24940 26660 32422 34658 38657 46748 58435 64844 69316 77314 81055 86645 116870 154628 162110 173290 193285 233740 324220 346580 386570 502541 773140 1005082 2010164 2512705 5025410 10050820