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1392120 = 233351289
BaseRepresentation
bin101010011110111111000
32121201122000
411103313320
5324021440
645501000
714555442
oct5236770
92551560
101392120
11870a14
12571760
13399852
14283492
151c7730
hex153df8

1392120 has 64 divisors (see below), whose sum is σ = 4644000. Its totient is φ = 370944.

The previous prime is 1392103. The next prime is 1392133. The reversal of 1392120 is 212931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1392093 and 1392102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436 + ... + 1724.

21392120 is an apocalyptic number.

1392120 is a gapful number since it is divisible by the number (10) 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 1392120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322000).

1392120 is an abundant number, since it is smaller than the sum of its proper divisors (3251880).

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

1392120 is a wasteful number, since it uses less digits than its factorization.

1392120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1392120 is about 1179.8813499670. The cubic root of 1392120 is about 111.6586118296.

The spelling of 1392120 in words is "one million, three hundred ninety-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1289 2578 3867 5156 6445 7734 10312 11601 12890 15468 19335 23202 25780 30936 34803 38670 46404 51560 58005 69606 77340 92808 116010 139212 154680 174015 232020 278424 348030 464040 696060 1392120