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2701296 = 243313237
BaseRepresentation
bin1010010011011111110000
312002020111000
422103133300
51142420141
6133522000
731650333
oct12233760
95066430
102701296
111585584
12aa3300
13737700
1450461a
153855b6
hex2937f0

2701296 has 120 divisors (see below), whose sum is σ = 8622960. Its totient is φ = 808704.

The previous prime is 2701277. The next prime is 2701297. The reversal of 2701296 is 6921072.

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

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2701297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72990 + ... + 73026.

It is an arithmetic number, because the mean of its divisors is an integer number (71858).

22701296 is an apocalyptic number.

2701296 is a gapful number since it is divisible by the number (26) 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 2701296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311480).

2701296 is an abundant number, since it is smaller than the sum of its proper divisors (5921664).

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

2701296 is a wasteful number, since it uses less digits than its factorization.

2701296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2701296 is about 1643.5619854450. The cubic root of 2701296 is about 139.2699410710.

The spelling of 2701296 in words is "two million, seven hundred one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 37 39 48 52 54 72 74 78 104 108 111 117 144 148 156 169 208 216 222 234 296 312 333 338 351 432 444 468 481 507 592 624 666 676 702 888 936 962 999 1014 1332 1352 1404 1443 1521 1776 1872 1924 1998 2028 2664 2704 2808 2886 3042 3848 3996 4056 4329 4563 5328 5616 5772 6084 6253 7696 7992 8112 8658 9126 11544 12168 12506 12987 15984 17316 18252 18759 23088 24336 25012 25974 34632 36504 37518 50024 51948 56277 69264 73008 75036 100048 103896 112554 150072 168831 207792 225108 300144 337662 450216 675324 900432 1350648 2701296