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2096160 = 253511397
BaseRepresentation
bin111111111110000100000
310221111101120
413333300200
51014034120
6112532240
723550153
oct7776040
93844346
102096160
111201970
12851080
13585141
143c7c9a
152b6140
hex1ffc20

2096160 has 96 divisors (see below), whose sum is σ = 7221312. Its totient is φ = 506880.

The previous prime is 2096147. The next prime is 2096183. The reversal of 2096160 is 616902.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2096160.

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, 5082 + ... + 5478.

It is an arithmetic number, because the mean of its divisors is an integer number (75222).

22096160 is an apocalyptic number.

2096160 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 2096160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610656).

2096160 is an abundant number, since it is smaller than the sum of its proper divisors (5125152).

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

2096160 is a wasteful number, since it uses less digits than its factorization.

2096160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 2096160 is about 1447.8121425102. The cubic root of 2096160 is about 127.9798145253.

The spelling of 2096160 in words is "two million, ninety-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 397 440 480 528 660 794 880 1056 1191 1320 1588 1760 1985 2382 2640 3176 3970 4367 4764 5280 5955 6352 7940 8734 9528 11910 12704 13101 15880 17468 19056 21835 23820 26202 31760 34936 38112 43670 47640 52404 63520 65505 69872 87340 95280 104808 131010 139744 174680 190560 209616 262020 349360 419232 524040 698720 1048080 2096160