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2076120 = 233257379
BaseRepresentation
bin111111010110111011000
310220110220100
413322313120
51012413440
6112255400
723434554
oct7726730
93813810
102076120
111198902
12841560
13578c97
143c0864
152b0230
hex1fadd8

2076120 has 96 divisors (see below), whose sum is σ = 6926400. Its totient is φ = 539136.

The previous prime is 2076089. The next prime is 2076133. The reversal of 2076120 is 216702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2076093 and 2076102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26241 + ... + 26319.

It is an arithmetic number, because the mean of its divisors is an integer number (72150).

22076120 is an apocalyptic number.

2076120 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 2076120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463200).

2076120 is an abundant number, since it is smaller than the sum of its proper divisors (4850280).

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

2076120 is a wasteful number, since it uses less digits than its factorization.

2076120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2076120 is about 1440.8747343194. The cubic root of 2076120 is about 127.5706644039.

The spelling of 2076120 in words is "two million, seventy-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 79 90 120 146 158 180 219 237 292 316 360 365 395 438 474 584 632 657 711 730 790 876 948 1095 1185 1314 1422 1460 1580 1752 1896 2190 2370 2628 2844 2920 3160 3285 3555 4380 4740 5256 5688 5767 6570 7110 8760 9480 11534 13140 14220 17301 23068 26280 28440 28835 34602 46136 51903 57670 69204 86505 103806 115340 138408 173010 207612 230680 259515 346020 415224 519030 692040 1038060 2076120