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7114016 = 257213349
BaseRepresentation
bin11011001000110100100000
3111101102121002
4123020310200
53310122031
6412251132
7114316400
oct33106440
914342532
107114016
114019958
122470aa8
1316210a0
14d32800
15957ccb
hex6c8d20

7114016 has 72 divisors (see below), whose sum is σ = 17595900. Its totient is φ = 2806272.

The previous prime is 7113989. The next prime is 7114039. The reversal of 7114016 is 6104117.

It can be written as a sum of positive squares in 2 ways, for example, as 7075600 + 38416 = 2660^2 + 196^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20210 + ... + 20558.

Almost surely, 27114016 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 7114016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8797950).

7114016 is an abundant number, since it is smaller than the sum of its proper divisors (10481884).

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

7114016 is a wasteful number, since it uses less digits than its factorization.

7114016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 7114016 is about 2667.2112777206. The cubic root of 7114016 is about 192.3261239852.

The spelling of 7114016 in words is "seven million, one hundred fourteen thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 349 364 392 416 637 698 728 784 1274 1396 1456 1568 2443 2548 2792 2912 4537 4886 5096 5584 9074 9772 10192 11168 17101 18148 19544 20384 31759 34202 36296 39088 63518 68404 72592 78176 127036 136808 145184 222313 254072 273616 444626 508144 547232 889252 1016288 1778504 3557008 7114016