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1132830 = 232541307
BaseRepresentation
bin100010100100100011110
32010112221200
410110210132
5242222310
640140330
712425466
oct4244436
92115850
101132830
11704126
124676a6
1330881a
14216ba6
151759c0
hex11491e

1132830 has 48 divisors (see below), whose sum is σ = 3027024. Its totient is φ = 293760.

The previous prime is 1132823. The next prime is 1132861. The reversal of 1132830 is 382311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3537 + ... + 3843.

It is an arithmetic number, because the mean of its divisors is an integer number (63063).

21132830 is an apocalyptic number.

1132830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513512).

1132830 is an abundant number, since it is smaller than the sum of its proper divisors (1894194).

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

1132830 is a wasteful number, since it uses less digits than its factorization.

1132830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1132830 is about 1064.3448689217. The cubic root of 1132830 is about 104.2449232384.

The spelling of 1132830 in words is "one million, one hundred thirty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 307 369 410 614 615 738 921 1230 1535 1842 1845 2763 3070 3690 4605 5526 9210 12587 13815 25174 27630 37761 62935 75522 113283 125870 188805 226566 377610 566415 1132830