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1352096 = 25293147
BaseRepresentation
bin101001010000110100000
32112200201122
411022012200
5321231341
644551412
714330654
oct5120640
92480648
101352096
11843939
12552568
13384575
14272a64
151ba94b
hex14a1a0

1352096 has 48 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 618240.

The previous prime is 1352093. The next prime is 1352107. The reversal of 1352096 is 6902531.

It is not an unprimeable number, because it can be changed into a prime (1352093) by changing a digit.

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, 28745 + ... + 28791.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

21352096 is an apocalyptic number.

1352096 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 1352096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

1352096 is an abundant number, since it is smaller than the sum of its proper divisors (1550944).

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

1352096 is a wasteful number, since it uses less digits than its factorization.

1352096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 1352096 is about 1162.7966288221. The cubic root of 1352096 is about 110.5781133831.

The spelling of 1352096 in words is "one million, three hundred fifty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 29 31 32 47 58 62 94 116 124 188 232 248 376 464 496 752 899 928 992 1363 1457 1504 1798 2726 2914 3596 5452 5828 7192 10904 11656 14384 21808 23312 28768 42253 43616 46624 84506 169012 338024 676048 1352096