Search a number
-
+
10099980 = 22325115101
BaseRepresentation
bin100110100001…
…110100001100
3201000010120100
4212201310030
510041144410
61000251100
7151564002
oct46416414
921003510
1010099980
1157792a0
123470a90
132128227
1414aca72
15d478c0
hex9a1d0c

10099980 has 72 divisors (see below), whose sum is σ = 33428304. Its totient is φ = 2448000.

The previous prime is 10099979. The next prime is 10099997. The reversal of 10099980 is 8999001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571 + ... + 4530.

It is an arithmetic number, because the mean of its divisors is an integer number (464282).

Almost surely, 210099980 is an apocalyptic number.

10099980 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 10099980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16714152).

10099980 is an abundant number, since it is smaller than the sum of its proper divisors (23328324).

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

10099980 is a wasteful number, since it uses less digits than its factorization.

10099980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5127 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 10099980 is about 3178.0465698287. The cubic root of 10099980 is about 216.1590906151.

The spelling of 10099980 in words is "ten million, ninety-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5101 10202 15303 20404 25505 30606 45909 51010 56111 61212 76515 91818 102020 112222 153030 168333 183636 224444 229545 280555 306060 336666 459090 504999 561110 673332 841665 918180 1009998 1122220 1683330 2019996 2524995 3366660 5049990 10099980