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2131360 = 255711173
BaseRepresentation
bin1000001000010110100000
311000021200021
420020112200
51021200420
6113403224
724054610
oct10102640
94007607
102131360
111226360
12869514
1359817a
143d6a40
152c17aa
hex2085a0

2131360 has 96 divisors (see below), whose sum is σ = 6314112. Its totient is φ = 660480.

The previous prime is 2131321. The next prime is 2131361. The reversal of 2131360 is 631312.

2131360 = T440 + T441 + ... + T460.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2131361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12234 + ... + 12406.

It is an arithmetic number, because the mean of its divisors is an integer number (65772).

22131360 is an apocalyptic number.

2131360 is a gapful number since it is divisible by the number (20) 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 2131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157056).

2131360 is an abundant number, since it is smaller than the sum of its proper divisors (4182752).

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

2131360 is a wasteful number, since it uses less digits than its factorization.

2131360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2131360 is about 1459.9178059055. The cubic root of 2131360 is about 128.6922133613.

Adding to 2131360 its reverse (631312), we get a palindrome (2762672).

The spelling of 2131360 in words is "two million, one hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 173 176 220 224 280 308 346 352 385 440 560 616 692 770 865 880 1120 1211 1232 1384 1540 1730 1760 1903 2422 2464 2768 3080 3460 3806 4844 5536 6055 6160 6920 7612 9515 9688 12110 12320 13321 13840 15224 19030 19376 24220 26642 27680 30448 38060 38752 48440 53284 60896 66605 76120 96880 106568 133210 152240 193760 213136 266420 304480 426272 532840 1065680 2131360