Search a number
-
+
1410084 = 22321323131
BaseRepresentation
bin101011000010000100100
32122122021100
411120100210
5330110314
650120100
714662014
oct5302044
92578240
101410084
11883465
12580030
133a4a90
14289c44
151ccc09
hex158424

1410084 has 72 divisors (see below), whose sum is σ = 4036032. Its totient is φ = 411840.

The previous prime is 1410077. The next prime is 1410103. The reversal of 1410084 is 4800141.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10699 + ... + 10829.

It is an arithmetic number, because the mean of its divisors is an integer number (56056).

21410084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1410084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018016).

1410084 is an abundant number, since it is smaller than the sum of its proper divisors (2625948).

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

1410084 is a wasteful number, since it uses less digits than its factorization.

1410084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1410084 is about 1187.4695785577. The cubic root of 1410084 is about 112.1368437879.

The spelling of 1410084 in words is "one million, four hundred ten thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 131 138 156 207 234 262 276 299 393 414 468 524 598 786 828 897 1179 1196 1572 1703 1794 2358 2691 3013 3406 3588 4716 5109 5382 6026 6812 9039 10218 10764 12052 15327 18078 20436 27117 30654 36156 39169 54234 61308 78338 108468 117507 156676 235014 352521 470028 705042 1410084