Search a number
-
+
10684170 = 233575653
BaseRepresentation
bin101000110000…
…011100001010
3202002210221000
4220300130022
510213343140
61020555430
7156546120
oct50603412
922083830
1010684170
1160381a2
1236b2b76
1322a10c3
1415c1910
15e10a30
hexa3070a

10684170 has 64 divisors (see below), whose sum is σ = 32567040. Its totient is φ = 2441664.

The previous prime is 10684139. The next prime is 10684171. The reversal of 10684170 is 7148601.

It is a happy number.

It is a super-2 number, since 2×106841702 = 228302977177800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10684171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 937 + ... + 4716.

It is an arithmetic number, because the mean of its divisors is an integer number (508860).

Almost surely, 210684170 is an apocalyptic number.

10684170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10684170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16283520).

10684170 is an abundant number, since it is smaller than the sum of its proper divisors (21882870).

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

10684170 is a wasteful number, since it uses less digits than its factorization.

10684170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10684170 is about 3268.6648650481. The cubic root of 10684170 is about 220.2488231545.

The spelling of 10684170 in words is "ten million, six hundred eighty-four thousand, one hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 5653 11306 16959 28265 33918 39571 50877 56530 79142 84795 101754 118713 152631 169590 197855 237426 254385 305262 356139 395710 508770 593565 712278 763155 1068417 1187130 1526310 1780695 2136834 3561390 5342085 10684170