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2716416 = 2834131
BaseRepresentation
bin1010010111001100000000
312010000020000
422113030000
51143411131
6134120000
732042403
oct12271400
95100200
102716416
11159597a
12ab0000
13741561
14509d3a
15389ce6
hex297300

2716416 has 90 divisors (see below), whose sum is σ = 8161692. Its totient is φ = 898560.

The previous prime is 2716397. The next prime is 2716423. The reversal of 2716416 is 6146172.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2716416.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20671 + ... + 20801.

22716416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080846).

2716416 is an abundant number, since it is smaller than the sum of its proper divisors (5445276).

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

2716416 is an equidigital number, since it uses as much as digits as its factorization.

2716416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2716416 is about 1648.1553324854. The cubic root of 2716416 is about 139.5293035908.

The spelling of 2716416 in words is "two million, seven hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 131 144 162 192 216 256 262 288 324 384 393 432 524 576 648 768 786 864 1048 1152 1179 1296 1572 1728 2096 2304 2358 2592 3144 3456 3537 4192 4716 5184 6288 6912 7074 8384 9432 10368 10611 12576 14148 16768 18864 20736 21222 25152 28296 33536 37728 42444 50304 56592 75456 84888 100608 113184 150912 169776 226368 301824 339552 452736 679104 905472 1358208 2716416