Search a number
-
+
10867340 = 22511471051
BaseRepresentation
bin101001011101…
…001010001100
3202110010012002
4221131022030
510240223330
61024531432
7161241131
oct51351214
922403162
1010867340
116152880
123780b78
1323365a3
14162c588
15e49e45
hexa5d28c

10867340 has 48 divisors (see below), whose sum is σ = 25449984. Its totient is φ = 3864000.

The previous prime is 10867321. The next prime is 10867379. The reversal of 10867340 is 4376801.

10867340 = T320 + T321 + ... + T460.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 9815 + ... + 10865.

It is an arithmetic number, because the mean of its divisors is an integer number (530208).

Almost surely, 210867340 is an apocalyptic number.

10867340 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 10867340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12724992).

10867340 is an abundant number, since it is smaller than the sum of its proper divisors (14582644).

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

10867340 is a wasteful number, since it uses less digits than its factorization.

10867340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 10867340 is about 3296.5648787791. The cubic root of 10867340 is about 221.5003507443.

The spelling of 10867340 in words is "ten million, eight hundred sixty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 1051 2068 2102 2585 4204 5170 5255 10340 10510 11561 21020 23122 46244 49397 57805 98794 115610 197588 231220 246985 493970 543367 987940 1086734 2173468 2716835 5433670 10867340