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1093120 = 295761
BaseRepresentation
bin100001010111000000000
32001112110221
410022320000
5234434440
635232424
712201640
oct4127000
92045427
101093120
11687306
12448714
132c3722
14206520
15168d4a
hex10ae00

1093120 has 80 divisors (see below), whose sum is σ = 3044448. Its totient is φ = 368640.

The previous prime is 1093111. The next prime is 1093129. The reversal of 1093120 is 213901.

It is an interprime number because it is at equal distance from previous prime (1093111) and next prime (1093129).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10931202 = 2389822668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1093094 and 1093103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1093129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17890 + ... + 17950.

21093120 is an apocalyptic number.

1093120 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 1093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522224).

1093120 is an abundant number, since it is smaller than the sum of its proper divisors (1951328).

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

1093120 is an frugal number, since it uses more digits than its factorization.

1093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1093120 is about 1045.5237921731. The cubic root of 1093120 is about 103.0123465264.

The spelling of 1093120 in words is "one million, ninety-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 64 70 80 112 122 128 140 160 224 244 256 280 305 320 427 448 488 512 560 610 640 854 896 976 1120 1220 1280 1708 1792 1952 2135 2240 2440 2560 3416 3584 3904 4270 4480 4880 6832 7808 8540 8960 9760 13664 15616 17080 17920 19520 27328 31232 34160 39040 54656 68320 78080 109312 136640 156160 218624 273280 546560 1093120