Search a number
-
+
10488140 = 22513229107
BaseRepresentation
bin101000000000…
…100101001100
3201201212000122
4220000211030
510141110030
61012444112
7155101445
oct50004514
921655018
1010488140
115a13993
123619638
132232b00
1415702cc
15dc28e5
hexa0094c

10488140 has 72 divisors (see below), whose sum is σ = 24902640. Its totient is φ = 3704064.

The previous prime is 10488139. The next prime is 10488187. The reversal of 10488140 is 4188401.

It is a super-2 number, since 2×104881402 = 220002161319200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 97967 + ... + 98073.

It is an arithmetic number, because the mean of its divisors is an integer number (345870).

Almost surely, 210488140 is an apocalyptic number.

10488140 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 10488140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12451320).

10488140 is an abundant number, since it is smaller than the sum of its proper divisors (14414500).

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

10488140 is a wasteful number, since it uses less digits than its factorization.

10488140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 10488140 is about 3238.5397944135. The cubic root of 10488140 is about 218.8934797475.

The spelling of 10488140 in words is "ten million, four hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 107 116 130 145 169 214 260 290 338 377 428 535 580 676 754 845 1070 1391 1508 1690 1885 2140 2782 3103 3380 3770 4901 5564 6206 6955 7540 9802 12412 13910 15515 18083 19604 24505 27820 31030 36166 40339 49010 62060 72332 80678 90415 98020 161356 180830 201695 361660 403390 524407 806780 1048814 2097628 2622035 5244070 10488140