Search a number
-
+
10714032 = 243471181
BaseRepresentation
bin101000110111…
…101110110000
3202011022220000
4220313232300
510220322112
61021350000
7160032150
oct50675660
922138800
1010714032
11605867a
123708300
1322b1884
1415cc760
15e197dc
hexa37bb0

10714032 has 100 divisors (see below), whose sum is σ = 35469456. Its totient is φ = 3058560.

The previous prime is 10714031. The next prime is 10714051. The reversal of 10714032 is 23041701.

It is a super-2 number, since 2×107140322 = 229580963394048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10713996 and 10714014.

It is not an unprimeable number, because it can be changed into a prime (10714031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8482 + ... + 9662.

Almost surely, 210714032 is an apocalyptic number.

10714032 is a gapful number since it is divisible by the number (12) 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 10714032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17734728).

10714032 is an abundant number, since it is smaller than the sum of its proper divisors (24755424).

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

10714032 is a wasteful number, since it uses less digits than its factorization.

10714032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10714032 is about 3273.2295978131. The cubic root of 10714032 is about 220.4538290112.

Adding to 10714032 its reverse (23041701), we get a palindrome (33755733).

The spelling of 10714032 in words is "ten million, seven hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1181 1296 1512 2268 2362 3024 3543 4536 4724 7086 8267 9072 9448 10629 14172 16534 18896 21258 24801 28344 31887 33068 42516 49602 56688 63774 66136 74403 85032 95661 99204 127548 132272 148806 170064 191322 198408 223209 255096 297612 382644 396816 446418 510192 595224 669627 765288 892836 1190448 1339254 1530576 1785672 2678508 3571344 5357016 10714032