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1087830 = 23451779
BaseRepresentation
bin100001001100101010110
32001021020000
410021211112
5234302310
635152130
712150342
oct4114526
92037200
101087830
11683337
12445646
132c11b3
14204622
151674c0
hex109956

1087830 has 80 divisors (see below), whose sum is σ = 3136320. Its totient is φ = 269568.

The previous prime is 1087829. The next prime is 1087841. The reversal of 1087830 is 387801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1087794 and 1087803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13731 + ... + 13809.

It is an arithmetic number, because the mean of its divisors is an integer number (39204).

21087830 is an apocalyptic number.

1087830 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 1087830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568160).

1087830 is an abundant number, since it is smaller than the sum of its proper divisors (2048490).

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

1087830 is a wasteful number, since it uses less digits than its factorization.

1087830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1087830 is about 1042.9908916189. The cubic root of 1087830 is about 102.8459065107.

The spelling of 1087830 in words is "one million, eighty-seven thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 79 81 85 90 102 135 153 158 162 170 237 255 270 306 395 405 459 474 510 711 765 790 810 918 1185 1343 1377 1422 1530 2133 2295 2370 2686 2754 3555 4029 4266 4590 6399 6715 6885 7110 8058 10665 12087 12798 13430 13770 20145 21330 24174 31995 36261 40290 60435 63990 72522 108783 120870 181305 217566 362610 543915 1087830