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1396200 = 2335213179
BaseRepresentation
bin101010100110111101000
32121221020010
411110313220
5324134300
645531520
714603361
oct5246750
92557203
101396200
11873a93
12573ba0
1339b670
14284b68
151c8a50
hex154de8

1396200 has 96 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 341760.

The previous prime is 1396189. The next prime is 1396207. The reversal of 1396200 is 26931.

It is not an unprimeable number, because it can be changed into a prime (1396207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7711 + ... + 7889.

It is an arithmetic number, because the mean of its divisors is an integer number (48825).

21396200 is an apocalyptic number.

1396200 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 1396200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

1396200 is an abundant number, since it is smaller than the sum of its proper divisors (3291000).

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

1396200 is a wasteful number, since it uses less digits than its factorization.

1396200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 1396200 is about 1181.6090724093. The cubic root of 1396200 is about 111.7675877808.

It can be divided in two parts, 1396 and 200, that added together give a triangular number (1596 = T56).

The spelling of 1396200 in words is "one million, three hundred ninety-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 179 195 200 260 300 312 325 358 390 520 537 600 650 716 780 895 975 1074 1300 1432 1560 1790 1950 2148 2327 2600 2685 3580 3900 4296 4475 4654 5370 6981 7160 7800 8950 9308 10740 11635 13425 13962 17900 18616 21480 23270 26850 27924 34905 35800 46540 53700 55848 58175 69810 93080 107400 116350 139620 174525 232700 279240 349050 465400 698100 1396200