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16382712 = 2331937971
BaseRepresentation
bin111110011111…
…101011111000
31010211022212010
4332133223320
513143221322
61343045520
7256152003
oct76375370
933738763
1016382712
11927a635
1255a08a0
133517b18
14226653a
15168920c
hexf9faf8

16382712 has 64 divisors (see below), whose sum is σ = 44323200. Its totient is φ = 5028480.

The previous prime is 16382677. The next prime is 16382719. The reversal of 16382712 is 21728361.

It is a self number, because there is not a number n which added to its sum of digits gives 16382712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16382719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16387 + ... + 17357.

It is an arithmetic number, because the mean of its divisors is an integer number (692550).

Almost surely, 216382712 is an apocalyptic number.

16382712 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 16382712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22161600).

16382712 is an abundant number, since it is smaller than the sum of its proper divisors (27940488).

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

16382712 is a wasteful number, since it uses less digits than its factorization.

16382712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1032 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 16382712 is about 4047.5562997937. The cubic root of 16382712 is about 253.9775126309.

The spelling of 16382712 in words is "sixteen million, three hundred eighty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 296 444 456 703 888 971 1406 1942 2109 2812 2913 3884 4218 5624 5826 7768 8436 11652 16872 18449 23304 35927 36898 55347 71854 73796 107781 110694 143708 147592 215562 221388 287416 431124 442776 682613 862248 1365226 2047839 2730452 4095678 5460904 8191356 16382712