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10050084 = 22321141619
BaseRepresentation
bin100110010101…
…101000100100
3200220121010100
4212111220210
510033100314
6555224100
7151265352
oct46255044
920817110
1010050084
115744860
123448030
13210b5c5
1414987d2
15d37c09
hex995a24

10050084 has 72 divisors (see below), whose sum is σ = 28435680. Its totient is φ = 2966400.

The previous prime is 10050083. The next prime is 10050101. The reversal of 10050084 is 48005001.

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

It is not an unprimeable number, because it can be changed into a prime (10050083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15927 + ... + 16545.

It is an arithmetic number, because the mean of its divisors is an integer number (394940).

Almost surely, 210050084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10050084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217840).

10050084 is an abundant number, since it is smaller than the sum of its proper divisors (18385596).

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

10050084 is a wasteful number, since it uses less digits than its factorization.

10050084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10050084 is about 3170.1867452880. The cubic root of 10050084 is about 215.8025458919.

Adding to 10050084 its reverse (48005001), we get a palindrome (58055085).

The spelling of 10050084 in words is "ten million, fifty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 619 738 902 1238 1353 1476 1804 1857 2476 2706 3714 4059 5412 5571 6809 7428 8118 11142 13618 16236 20427 22284 25379 27236 40854 50758 61281 76137 81708 101516 122562 152274 228411 245124 279169 304548 456822 558338 837507 913644 1116676 1675014 2512521 3350028 5025042 10050084