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1290016 = 25713443
BaseRepresentation
bin100111010111100100000
32102112120101
410322330200
5312240031
643352144
713651660
oct4727440
92375511
101290016
11801232
12522654
13362230
142581a0
151a7361
hex13af20

1290016 has 48 divisors (see below), whose sum is σ = 3132864. Its totient is φ = 509184.

The previous prime is 1290013. The next prime is 1290019. The reversal of 1290016 is 6100921.

It is an interprime number because it is at equal distance from previous prime (1290013) and next prime (1290019).

It is a super-3 number, since 3×12900163 = 6440306633372172288, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1289975 and 1290002.

It is not an unprimeable number, because it can be changed into a prime (1290013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2691 + ... + 3133.

It is an arithmetic number, because the mean of its divisors is an integer number (65268).

21290016 is an apocalyptic number.

1290016 is a gapful number since it is divisible by the number (16) 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 1290016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566432).

1290016 is an abundant number, since it is smaller than the sum of its proper divisors (1842848).

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

1290016 is a wasteful number, since it uses less digits than its factorization.

1290016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1290016 is about 1135.7887127455. The cubic root of 1290016 is about 108.8591734053.

Adding to 1290016 its reverse (6100921), we get a palindrome (7390937).

The spelling of 1290016 in words is "one million, two hundred ninety thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 443 728 886 1456 1772 2912 3101 3544 5759 6202 7088 11518 12404 14176 23036 24808 40313 46072 49616 80626 92144 99232 161252 184288 322504 645008 1290016