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1392912 = 243217569
BaseRepresentation
bin101010100000100010000
32121202201100
411110010100
5324033122
645504400
714560653
oct5240420
92552640
101392912
11871574
12572100
1339a011
1428389a
151c7aac
hex154110

1392912 has 60 divisors (see below), whose sum is σ = 4134780. Its totient is φ = 436224.

The previous prime is 1392901. The next prime is 1392943. The reversal of 1392912 is 2192931.

It can be written as a sum of positive squares in 2 ways, for example, as 646416 + 746496 = 804^2 + 864^2 .

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

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, 2164 + ... + 2732.

It is an arithmetic number, because the mean of its divisors is an integer number (68913).

21392912 is an apocalyptic number.

1392912 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 1392912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067390).

1392912 is an abundant number, since it is smaller than the sum of its proper divisors (2741868).

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

1392912 is a wasteful number, since it uses less digits than its factorization.

1392912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 591 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 1392912 is about 1180.2169292126. The cubic root of 1392912 is about 111.6797826231.

It can be divided in two parts, 1392 and 912, that added together give a square (2304 = 482).

The spelling of 1392912 in words is "one million, three hundred ninety-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 569 612 816 1138 1224 1707 2276 2448 3414 4552 5121 6828 9104 9673 10242 13656 19346 20484 27312 29019 38692 40968 58038 77384 81936 87057 116076 154768 174114 232152 348228 464304 696456 1392912