Search a number
-
+
10020660 = 22351329443
BaseRepresentation
bin100110001110…
…011100110100
3200212002202120
4212032130310
510031130120
6554435540
7151113516
oct46163464
920762676
1010020660
115724741
123432bb0
1320cb0b0
14148bbb6
15d2e140
hex98e734

10020660 has 96 divisors (see below), whose sum is σ = 31328640. Its totient is φ = 2376192.

The previous prime is 10020643. The next prime is 10020691. The reversal of 10020660 is 6602001.

10020660 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22399 + ... + 22841.

It is an arithmetic number, because the mean of its divisors is an integer number (326340).

Almost surely, 210020660 is an apocalyptic number.

10020660 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 10020660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15664320).

10020660 is an abundant number, since it is smaller than the sum of its proper divisors (21307980).

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

10020660 is a wasteful number, since it uses less digits than its factorization.

10020660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10020660 is about 3165.5426075161. The cubic root of 10020660 is about 215.5917356794.

Adding to 10020660 its reverse (6602001), we get a palindrome (16622661).

The spelling of 10020660 in words is "ten million, twenty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 116 130 145 156 174 195 260 290 348 377 390 435 443 580 754 780 870 886 1131 1329 1508 1740 1772 1885 2215 2262 2658 3770 4430 4524 5316 5655 5759 6645 7540 8860 11310 11518 12847 13290 17277 22620 23036 25694 26580 28795 34554 38541 51388 57590 64235 69108 77082 86385 115180 128470 154164 167011 172770 192705 256940 334022 345540 385410 501033 668044 770820 835055 1002066 1670110 2004132 2505165 3340220 5010330 10020660