Search a number
-
+
10660104 = 23327131627
BaseRepresentation
bin101000101010…
…100100001000
3202001120220200
4220222210020
510212110404
61020252200
7156416010
oct50524410
922046820
1010660104
116021104
1236a1060
132293170
1415b6c40
15e08839
hexa2a908

10660104 has 96 divisors (see below), whose sum is σ = 35555520. Its totient is φ = 2809728.

The previous prime is 10660099. The next prime is 10660127. The reversal of 10660104 is 40106601.

10660104 is a `hidden beast` number, since 1 + 0 + 660 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×106601042 = 227275634581632, which contains 22 as substring.

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

It is a congruent number.

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, 5739 + ... + 7365.

It is an arithmetic number, because the mean of its divisors is an integer number (370370).

Almost surely, 210660104 is an apocalyptic number.

10660104 is a gapful number since it is divisible by the number (14) 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 10660104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17777760).

10660104 is an abundant number, since it is smaller than the sum of its proper divisors (24895416).

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

10660104 is a wasteful number, since it uses less digits than its factorization.

10660104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10660104 is about 3264.9814700852. The cubic root of 10660104 is about 220.0833293149.

Adding to 10660104 its reverse (40106601), we get a palindrome (50766705).

The spelling of 10660104 in words is "ten million, six hundred sixty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1627 1638 2184 3254 3276 4881 6508 6552 9762 11389 13016 14643 19524 21151 22778 29286 34167 39048 42302 45556 58572 63453 68334 84604 91112 102501 117144 126906 136668 148057 169208 190359 205002 253812 273336 296114 380718 410004 444171 507624 592228 761436 820008 888342 1184456 1332513 1522872 1776684 2665026 3553368 5330052 10660104