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1133900 = 2252172329
BaseRepresentation
bin100010100110101001100
32010121102022
410110311030
5242241100
640145312
712431555
oct4246514
92117368
101133900
11704a09
12468238
13309161
1421732c
15175e85
hex114d4c

1133900 has 72 divisors (see below), whose sum is σ = 2812320. Its totient is φ = 394240.

The previous prime is 1133897. The next prime is 1133903. The reversal of 1133900 is 93311.

It is an interprime number because it is at equal distance from previous prime (1133897) and next prime (1133903).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (1133903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39086 + ... + 39114.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

21133900 is an apocalyptic number.

1133900 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 1133900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406160).

1133900 is an abundant number, since it is smaller than the sum of its proper divisors (1678420).

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

1133900 is a wasteful number, since it uses less digits than its factorization.

1133900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 1133900 is about 1064.8474069086. The cubic root of 1133900 is about 104.2777339773.

The spelling of 1133900 in words is "one million, one hundred thirty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 23 25 29 34 46 50 58 68 85 92 100 115 116 145 170 230 290 340 391 425 460 493 575 580 667 725 782 850 986 1150 1334 1450 1564 1700 1955 1972 2300 2465 2668 2900 3335 3910 4930 6670 7820 9775 9860 11339 12325 13340 16675 19550 22678 24650 33350 39100 45356 49300 56695 66700 113390 226780 283475 566950 1133900