Search a number
-
+
11858730 = 2351322339
BaseRepresentation
bin101101001111…
…001100101010
3211022111010020
4231033030222
511013434410
61102101310
7202540362
oct55171452
924274106
1011858730
11676a704
123b7a836
1325c2900
1418099a2
151093a70
hexb4f32a

11858730 has 48 divisors (see below), whose sum is σ = 30831840. Its totient is φ = 2917824.

The previous prime is 11858729. The next prime is 11858747. The reversal of 11858730 is 3785811.

It is a junction number, because it is equal to n+sod(n) for n = 11858691 and 11858700.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3901 + ... + 6239.

It is an arithmetic number, because the mean of its divisors is an integer number (642330).

Almost surely, 211858730 is an apocalyptic number.

11858730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11858730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15415920).

11858730 is an abundant number, since it is smaller than the sum of its proper divisors (18973110).

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

11858730 is a wasteful number, since it uses less digits than its factorization.

11858730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 11858730 is about 3443.6506791485. The cubic root of 11858730 is about 228.0408898654.

The spelling of 11858730 in words is "eleven million, eight hundred fifty-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2339 2535 4678 5070 7017 11695 14034 23390 30407 35085 60814 70170 91221 152035 182442 304070 395291 456105 790582 912210 1185873 1976455 2371746 3952910 5929365 11858730