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2076160 = 295811
BaseRepresentation
bin111111010111000000000
310220110221211
413322320000
51012414120
6112255504
723434642
oct7727000
93813854
102076160
111198939
12841594
13578cc8
143c0892
152b025a
hex1fae00

2076160 has 40 divisors (see below), whose sum is σ = 4984056. Its totient is φ = 829440.

The previous prime is 2076143. The next prime is 2076161. The reversal of 2076160 is 616702.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2076161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2155 + ... + 2965.

22076160 is an apocalyptic number.

2076160 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 2076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492028).

2076160 is an abundant number, since it is smaller than the sum of its proper divisors (2907896).

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

2076160 is an frugal number, since it uses more digits than its factorization.

2076160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 2076160 is about 1440.8886147097. Note that the first 3 decimals coincide. The cubic root of 2076160 is about 127.5714836876.

The spelling of 2076160 in words is "two million, seventy-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 811 1280 1622 2560 3244 4055 6488 8110 12976 16220 25952 32440 51904 64880 103808 129760 207616 259520 415232 519040 1038080 2076160