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1252160 = 26571343
BaseRepresentation
bin100110001101101000000
32100121122022
410301231000
5310032120
642501012
713433420
oct4615500
92317568
101252160
11785848
12504768
1334ac30
14248480
1519b025
hex131b40

1252160 has 112 divisors (see below), whose sum is σ = 3755136. Its totient is φ = 387072.

The previous prime is 1252159. The next prime is 1252177. The reversal of 1252160 is 612521.

It is a Cunningham number, because it is equal to 11192-1.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29099 + ... + 29141.

It is an arithmetic number, because the mean of its divisors is an integer number (33528).

21252160 is an apocalyptic number.

1252160 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 1252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877568).

1252160 is an abundant number, since it is smaller than the sum of its proper divisors (2502976).

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

1252160 is a wasteful number, since it uses less digits than its factorization.

1252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1252160 is about 1118.9995531724. Note that the first 3 decimals coincide. The cubic root of 1252160 is about 107.7837465155.

Adding to 1252160 its reverse (612521), we get a palindrome (1864681).

The spelling of 1252160 in words is "one million, two hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 43 52 56 64 65 70 80 86 91 104 112 130 140 160 172 182 208 215 224 260 280 301 320 344 364 416 430 448 455 520 559 560 602 688 728 832 860 910 1040 1118 1120 1204 1376 1456 1505 1720 1820 2080 2236 2240 2408 2752 2795 2912 3010 3440 3640 3913 4160 4472 4816 5590 5824 6020 6880 7280 7826 8944 9632 11180 12040 13760 14560 15652 17888 19264 19565 22360 24080 29120 31304 35776 39130 44720 48160 62608 78260 89440 96320 125216 156520 178880 250432 313040 626080 1252160