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11417712 = 243793011
BaseRepresentation
bin101011100011…
…100001110000
3210111002011020
4223203201300
510410331322
61044415440
7166022535
oct53434160
923432136
1011417712
116499329
1239a7580
132499c57
141732d8c
15100805c
hexae3870

11417712 has 40 divisors (see below), whose sum is σ = 29879040. Its totient is φ = 3756480.

The previous prime is 11417701. The next prime is 11417713. The reversal of 11417712 is 21771411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11417713) 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 7 ways as a sum of consecutive naturals, for example, 2287 + ... + 5297.

It is an arithmetic number, because the mean of its divisors is an integer number (746976).

Almost surely, 211417712 is an apocalyptic number.

11417712 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 11417712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14939520).

11417712 is an abundant number, since it is smaller than the sum of its proper divisors (18461328).

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

11417712 is a wasteful number, since it uses less digits than its factorization.

11417712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3095 counting only the distinct ones).

The product of its digits is 392, while the sum is 24.

The square root of 11417712 is about 3379.0105060506. The cubic root of 11417712 is about 225.1782094307.

The spelling of 11417712 in words is "eleven million, four hundred seventeen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3011 3792 6022 9033 12044 18066 24088 36132 48176 72264 144528 237869 475738 713607 951476 1427214 1902952 2854428 3805904 5708856 11417712