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1356096 = 26371009
BaseRepresentation
bin101001011000101000000
32112220012210
411023011000
5321343341
645022120
714345430
oct5130500
92486183
101356096
11846945
12554940
13386331
142742c0
151bbc16
hex14b140

1356096 has 56 divisors (see below), whose sum is σ = 4104640. Its totient is φ = 387072.

The previous prime is 1356083. The next prime is 1356101. The reversal of 1356096 is 6906531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×13560962 = 3677992722432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 840 + ... + 1848.

21356096 is an apocalyptic number.

1356096 is a gapful number since it is divisible by the number (16) 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 1356096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052320).

1356096 is an abundant number, since it is smaller than the sum of its proper divisors (2748544).

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

1356096 is a wasteful number, since it uses less digits than its factorization.

1356096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 1356096 is about 1164.5153498344. The cubic root of 1356096 is about 110.6870496802.

The spelling of 1356096 in words is "one million, three hundred fifty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1009 1344 2018 3027 4036 6054 7063 8072 12108 14126 16144 21189 24216 28252 32288 42378 48432 56504 64576 84756 96864 113008 169512 193728 226016 339024 452032 678048 1356096