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2071960 = 2351117277
BaseRepresentation
bin111111001110110011000
310220021012021
413321312120
51012300320
6112224224
723416462
oct7716630
93807167
102071960
111195770
1283b074
13577117
143bd132
152addaa
hex1f9d98

2071960 has 64 divisors (see below), whose sum is σ = 5404320. Its totient is φ = 706560.

The previous prime is 2071957. The next prime is 2071961. The reversal of 2071960 is 691702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7342 + ... + 7618.

22071960 is an apocalyptic number.

2071960 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 2071960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702160).

2071960 is an abundant number, since it is smaller than the sum of its proper divisors (3332360).

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

2071960 is a wasteful number, since it uses less digits than its factorization.

2071960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 2071960 is about 1439.4304429183. The cubic root of 2071960 is about 127.4854013786.

The spelling of 2071960 in words is "two million, seventy-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 277 340 374 440 554 680 748 935 1108 1385 1496 1870 2216 2770 3047 3740 4709 5540 6094 7480 9418 11080 12188 15235 18836 23545 24376 30470 37672 47090 51799 60940 94180 103598 121880 188360 207196 258995 414392 517990 1035980 2071960