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11416770 = 2325472699
BaseRepresentation
bin101011100011…
…010011000010
3210111000212100
4223203103002
510410314040
61044411230
7166020021
oct53432302
923430770
1011416770
116498652
1239a6b16
1324996b1
1417328b8
151007b30
hexae34c2

11416770 has 48 divisors (see below), whose sum is σ = 30326400. Its totient is φ = 2978592.

The previous prime is 11416753. The next prime is 11416771. The reversal of 11416770 is 7761411.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11416771) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2881 + ... + 5579.

It is an arithmetic number, because the mean of its divisors is an integer number (631800).

Almost surely, 211416770 is an apocalyptic number.

11416770 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 11416770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163200).

11416770 is an abundant number, since it is smaller than the sum of its proper divisors (18909630).

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

11416770 is a wasteful number, since it uses less digits than its factorization.

11416770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 11416770 is about 3378.8711132566. The cubic root of 11416770 is about 225.1720166048.

The spelling of 11416770 in words is "eleven million, four hundred sixteen thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 1410 2115 2699 4230 5398 8097 13495 16194 24291 26990 40485 48582 80970 121455 126853 242910 253706 380559 634265 761118 1141677 1268530 1902795 2283354 3805590 5708385 11416770