[go: up one dir, main page]

Search a number
-
+
1264968 = 233217569
BaseRepresentation
bin100110100110101001000
32101021012200
410310311020
5310434333
643040200
713515645
oct4646510
92337180
101264968
11794431
12510060
13353a03
1424cdcc
1519ec13
hex134d48

1264968 has 24 divisors (see below), whose sum is σ = 3426150. Its totient is φ = 421632.

The previous prime is 1264933. The next prime is 1264969. The reversal of 1264968 is 8694621.

1264968 is a `hidden beast` number, since 1 + 2 + 649 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1258884 + 6084 = 1122^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1264969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8713 + ... + 8856.

21264968 is an apocalyptic number.

1264968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1264968 is an abundant number, since it is smaller than the sum of its proper divisors (2161182).

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

1264968 is a wasteful number, since it uses less digits than its factorization.

1264968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17581 (or 17574 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1264968 is about 1124.7079620950. The cubic root of 1264968 is about 108.1499973389.

It can be divided in two parts, 12 and 64968, that added together give a triangular number (64980 = T360).

The spelling of 1264968 in words is "one million, two hundred sixty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 17569 35138 52707 70276 105414 140552 158121 210828 316242 421656 632484 1264968