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10642660 = 2257194001
BaseRepresentation
bin101000100110…
…010011100100
3202000200222121
4220212103210
510211031120
61020035324
7156314110
oct50462344
922020877
1010642660
116009a96
123692b44
132288242
1415b0740
15e035aa
hexa264e4

10642660 has 48 divisors (see below), whose sum is σ = 26893440. Its totient is φ = 3456000.

The previous prime is 10642649. The next prime is 10642661. The reversal of 10642660 is 6624601.

It is a happy number.

It is a super-2 number, since 2×106426602 = 226532423751200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 660 + ... + 4660.

It is an arithmetic number, because the mean of its divisors is an integer number (560280).

Almost surely, 210642660 is an apocalyptic number.

10642660 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 10642660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13446720).

10642660 is an abundant number, since it is smaller than the sum of its proper divisors (16250780).

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

10642660 is a wasteful number, since it uses less digits than its factorization.

10642660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 10642660 is about 3262.3089982404. The cubic root of 10642660 is about 219.9632169909.

The spelling of 10642660 in words is "ten million, six hundred forty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 4001 8002 16004 20005 28007 40010 56014 76019 80020 112028 140035 152038 280070 304076 380095 532133 560140 760190 1064266 1520380 2128532 2660665 5321330 10642660