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2102160 = 243519461
BaseRepresentation
bin1000000001001110010000
310221210121210
420001032100
51014232120
6113020120
723603514
oct10011620
93853553
102102160
111206425
12854640
13587aa8
143ca144
152b7ce0
hex201390

2102160 has 80 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 529920.

The previous prime is 2102143. The next prime is 2102167. The reversal of 2102160 is 612012.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2102167) 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, 4330 + ... + 4790.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

22102160 is an apocalyptic number.

2102160 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 2102160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

2102160 is an abundant number, since it is smaller than the sum of its proper divisors (4772400).

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

2102160 is a wasteful number, since it uses less digits than its factorization.

2102160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2102160 is about 1449.8827538805. The cubic root of 2102160 is about 128.1018070254.

Adding to 2102160 its reverse (612012), we get a palindrome (2714172).

The spelling of 2102160 in words is "two million, one hundred two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 461 570 760 912 922 1140 1383 1520 1844 2280 2305 2766 3688 4560 4610 5532 6915 7376 8759 9220 11064 13830 17518 18440 22128 26277 27660 35036 36880 43795 52554 55320 70072 87590 105108 110640 131385 140144 175180 210216 262770 350360 420432 525540 700720 1051080 2102160