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1392264 = 233261317
BaseRepresentation
bin101010011111010001000
32121201211100
411103322020
5324023024
645501400
714556036
oct5237210
92551740
101392264
11871035
12571860
13399933
14283556
151c77c9
hex153e88

1392264 has 48 divisors (see below), whose sum is σ = 3844620. Its totient is φ = 455040.

The previous prime is 1392253. The next prime is 1392269. The reversal of 1392264 is 4622931.

It can be written as a sum of positive squares in 2 ways, for example, as 980100 + 412164 = 990^2 + 642^2 .

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 (1392269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4234 + ... + 4550.

21392264 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 1392264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922310).

1392264 is an abundant number, since it is smaller than the sum of its proper divisors (2452356).

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

1392264 is a wasteful number, since it uses less digits than its factorization.

1392264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 383 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 1392264 is about 1179.9423714741. The cubic root of 1392264 is about 111.6624616619.

The spelling of 1392264 in words is "one million, three hundred ninety-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 317 366 488 549 634 732 951 1098 1268 1464 1902 2196 2536 2853 3804 4392 5706 7608 11412 19337 22824 38674 58011 77348 116022 154696 174033 232044 348066 464088 696132 1392264