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2707872 = 25367421
BaseRepresentation
bin1010010101000110100000
312002120111120
422111012200
51143122442
6134012240
732005446
oct12250640
95076446
102707872
11158a512
12aa7080
1373a6bb
14506b96
153874ec
hex2951a0

2707872 has 48 divisors (see below), whose sum is σ = 7231392. Its totient is φ = 887040.

The previous prime is 2707867. The next prime is 2707897. The reversal of 2707872 is 2787072.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6222 + ... + 6642.

It is an arithmetic number, because the mean of its divisors is an integer number (150654).

22707872 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 2707872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615696).

2707872 is an abundant number, since it is smaller than the sum of its proper divisors (4523520).

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

2707872 is a wasteful number, since it uses less digits than its factorization.

2707872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 2707872 is about 1645.5613024133. The cubic root of 2707872 is about 139.3828618032.

The spelling of 2707872 in words is "two million, seven hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 421 536 804 842 1072 1263 1608 1684 2144 2526 3216 3368 5052 6432 6736 10104 13472 20208 28207 40416 56414 84621 112828 169242 225656 338484 451312 676968 902624 1353936 2707872