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1126320 = 243513192
BaseRepresentation
bin100010010111110110000
32010020000120
410102332300
5242020240
640050240
712400506
oct4227660
92106016
101126320
116aa248
12463980
13305880
14214676
15173ad0
hex112fb0

1126320 has 120 divisors (see below), whose sum is σ = 3968496. Its totient is φ = 262656.

The previous prime is 1126319. The next prime is 1126343. The reversal of 1126320 is 236211.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1126320.

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, 59271 + ... + 59289.

21126320 is an apocalyptic number.

1126320 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 1126320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984248).

1126320 is an abundant number, since it is smaller than the sum of its proper divisors (2842176).

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

1126320 is a wasteful number, since it uses less digits than its factorization.

1126320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1126320 is about 1061.2822433264. The cubic root of 1126320 is about 104.0448524484.

The spelling of 1126320 in words is "one million, one hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 361 380 390 456 494 520 570 624 722 741 760 780 912 988 1040 1083 1140 1235 1444 1482 1520 1560 1805 1976 2166 2280 2470 2888 2964 3120 3610 3705 3952 4332 4560 4693 4940 5415 5776 5928 7220 7410 8664 9386 9880 10830 11856 14079 14440 14820 17328 18772 19760 21660 23465 28158 28880 29640 37544 43320 46930 56316 59280 70395 75088 86640 93860 112632 140790 187720 225264 281580 375440 563160 1126320