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2095080 = 2335131779
BaseRepresentation
bin111111111011111101000
310221102220120
413333133220
51014020310
6112523240
723544051
oct7773750
93842816
102095080
111201079
12850520
135847c0
143c7728
152b5b70
hex1ff7e8

2095080 has 128 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 479232.

The previous prime is 2095061. The next prime is 2095081. The reversal of 2095080 is 805902.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2095080.

It is not an unprimeable number, because it can be changed into a prime (2095081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26481 + ... + 26559.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

22095080 is an apocalyptic number.

2095080 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 2095080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2095080 is an abundant number, since it is smaller than the sum of its proper divisors (5162520).

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

2095080 is a wasteful number, since it uses less digits than its factorization.

2095080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2095080 is about 1447.4391178906. The cubic root of 2095080 is about 127.9578311613.

The spelling of 2095080 in words is "two million, ninety-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 79 85 102 104 120 130 136 156 158 170 195 204 221 237 255 260 312 316 340 390 395 408 442 474 510 520 632 663 680 780 790 884 948 1020 1027 1105 1185 1326 1343 1560 1580 1768 1896 2040 2054 2210 2370 2652 2686 3081 3160 3315 4029 4108 4420 4740 5135 5304 5372 6162 6630 6715 8058 8216 8840 9480 10270 10744 12324 13260 13430 15405 16116 17459 20145 20540 24648 26520 26860 30810 32232 34918 40290 41080 52377 53720 61620 69836 80580 87295 104754 123240 139672 161160 174590 209508 261885 349180 419016 523770 698360 1047540 2095080