Search a number
-
+
10686284 = 2271953379
BaseRepresentation
bin101000110000…
…111101001100
3202002220211022
4220300331030
510213430114
61021013312
7156555230
oct50607514
922086738
1010686284
116039844
1236b4238
1322a205b
1415c25c0
15e1148e
hexa30f4c

10686284 has 48 divisors (see below), whose sum is σ = 22982400. Its totient is φ = 4245696.

The previous prime is 10686233. The next prime is 10686293. The reversal of 10686284 is 48268601.

It is a super-2 number, since 2×106862842 = 228393331457312, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 28007 + ... + 28385.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 210686284 is an apocalyptic number.

10686284 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 10686284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491200).

10686284 is an abundant number, since it is smaller than the sum of its proper divisors (12296116).

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

10686284 is a wasteful number, since it uses less digits than its factorization.

10686284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 10686284 is about 3268.9882226769. The cubic root of 10686284 is about 220.2633485476.

The spelling of 10686284 in words is "ten million, six hundred eighty-six thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 19 28 38 53 76 106 133 212 266 371 379 532 742 758 1007 1484 1516 2014 2653 4028 5306 7049 7201 10612 14098 14402 20087 28196 28804 40174 50407 80348 100814 140609 201628 281218 381653 562436 763306 1526612 2671571 5343142 10686284