Search a number
-
+
10099620 = 2233559317
BaseRepresentation
bin100110100001…
…101110100100
3201000010002000
4212201232210
510041141440
61000245300
7151562646
oct46415644
921003060
1010099620
115778aa3
123470830
13212800b
1414ac896
15d47730
hex9a1ba4

10099620 has 96 divisors (see below), whose sum is σ = 32054400. Its totient is φ = 2639232.

The previous prime is 10099591. The next prime is 10099633. The reversal of 10099620 is 2699001.

10099620 = T269 + T270 + ... + T430.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 31702 + ... + 32018.

It is an arithmetic number, because the mean of its divisors is an integer number (333900).

Almost surely, 210099620 is an apocalyptic number.

10099620 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 10099620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16027200).

10099620 is an abundant number, since it is smaller than the sum of its proper divisors (21954780).

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

10099620 is a wasteful number, since it uses less digits than its factorization.

10099620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10099620 is about 3177.9899307581. The cubic root of 10099620 is about 216.1565223526.

The spelling of 10099620 in words is "ten million, ninety-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 90 108 118 135 177 180 236 270 295 317 354 531 540 590 634 708 885 951 1062 1180 1268 1585 1593 1770 1902 2124 2655 2853 3170 3186 3540 3804 4755 5310 5706 6340 6372 7965 8559 9510 10620 11412 14265 15930 17118 18703 19020 28530 31860 34236 37406 42795 56109 57060 74812 85590 93515 112218 168327 171180 187030 224436 280545 336654 374060 504981 561090 673308 841635 1009962 1122180 1683270 2019924 2524905 3366540 5049810 10099620