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1125936 = 243271117
BaseRepresentation
bin100010010111000110000
32010012111100
410102320300
5242012221
640044400
712366420
oct4227060
92105440
101125936
116a9a29
12463700
13305646
14214480
15173926
hex112e30

1125936 has 60 divisors (see below), whose sum is σ = 3604432. Its totient is φ = 321408.

The previous prime is 1125931. The next prime is 1125941. The reversal of 1125936 is 6395211.

It is an interprime number because it is at equal distance from previous prime (1125931) and next prime (1125941).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 450 + ... + 1566.

21125936 is an apocalyptic number.

1125936 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 1125936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802216).

1125936 is an abundant number, since it is smaller than the sum of its proper divisors (2478496).

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

1125936 is a wasteful number, since it uses less digits than its factorization.

1125936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1129 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 1125936 is about 1061.1013146726. The cubic root of 1125936 is about 104.0330269859.

The spelling of 1125936 in words is "one million, one hundred twenty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1117 2234 3351 4468 6702 7819 8936 10053 13404 15638 17872 20106 23457 26808 31276 40212 46914 53616 62552 70371 80424 93828 125104 140742 160848 187656 281484 375312 562968 1125936