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1290492 = 22347569
BaseRepresentation
bin100111011000011111100
32102120020000
410323003330
5312243432
643354300
713653240
oct4730374
92376200
101290492
11801625
12522990
13362508
14258420
151a757c
hex13b0fc

1290492 has 60 divisors (see below), whose sum is σ = 3862320. Its totient is φ = 368064.

The previous prime is 1290491. The next prime is 1290503. The reversal of 1290492 is 2940921.

1290492 is nontrivially palindromic in base 8.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290491) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1984 + ... + 2552.

It is an arithmetic number, because the mean of its divisors is an integer number (64372).

21290492 is an apocalyptic number.

1290492 is a gapful number since it is divisible by the number (12) 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 1290492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931160).

1290492 is an abundant number, since it is smaller than the sum of its proper divisors (2571828).

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

1290492 is a wasteful number, since it uses less digits than its factorization.

1290492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1290492 is about 1135.9982394353. The cubic root of 1290492 is about 108.8725609898.

It can be divided in two parts, 12904 and 92, that added together give a square (12996 = 1142).

The spelling of 1290492 in words is "one million, two hundred ninety thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 569 756 1134 1138 1707 2268 2276 3414 3983 5121 6828 7966 10242 11949 15363 15932 20484 23898 30726 35847 46089 47796 61452 71694 92178 107541 143388 184356 215082 322623 430164 645246 1290492