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2325120 = 27357173
BaseRepresentation
bin1000110111101010000000
311101010110120
420313222000
51043400440
6121500240
725522530
oct10675200
94333416
102325120
111348996
12941680
13635415
144474c0
1530ddd0
hex237a80

2325120 has 128 divisors (see below), whose sum is σ = 8519040. Its totient is φ = 528384.

The previous prime is 2325097. The next prime is 2325143. The reversal of 2325120 is 215232.

It is an interprime number because it is at equal distance from previous prime (2325097) and next prime (2325143).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2325120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13354 + ... + 13526.

It is an arithmetic number, because the mean of its divisors is an integer number (66555).

22325120 is an apocalyptic number.

2325120 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 2325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259520).

2325120 is an abundant number, since it is smaller than the sum of its proper divisors (6193920).

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

2325120 is a wasteful number, since it uses less digits than its factorization.

2325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2325120 is about 1524.8344172401. The cubic root of 2325120 is about 132.4794319563.

The spelling of 2325120 in words is "two million, three hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 173 192 210 224 240 280 320 336 346 384 420 448 480 519 560 640 672 692 840 865 896 960 1038 1120 1211 1344 1384 1680 1730 1920 2076 2240 2422 2595 2688 2768 3360 3460 3633 4152 4480 4844 5190 5536 6055 6720 6920 7266 8304 9688 10380 11072 12110 13440 13840 14532 16608 18165 19376 20760 22144 24220 27680 29064 33216 36330 38752 41520 48440 55360 58128 66432 72660 77504 83040 96880 110720 116256 145320 155008 166080 193760 232512 290640 332160 387520 465024 581280 775040 1162560 2325120