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2325078120 = 2335316171013
BaseRepresentation
bin1000101010010101…
…1110000001101000
320000001001012120110
42022211132001220
514230204444440
61022414254320
7111421560261
oct21245360150
96001035513
102325078120
11a9349a672
1254a7b73a0
132b0915a91
14180b19968
15d91c7080
hex8a95e068

2325078120 has 128 divisors (see below), whose sum is σ = 7219031040. Its totient is φ = 598456320.

The previous prime is 2325078059. The next prime is 2325078131. The reversal of 2325078120 is 218705232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2294734 + ... + 2295746.

It is an arithmetic number, because the mean of its divisors is an integer number (56398680).

Almost surely, 22325078120 is an apocalyptic number.

2325078120 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 2325078120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609515520).

2325078120 is an abundant number, since it is smaller than the sum of its proper divisors (4893952920).

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

2325078120 is a wasteful number, since it uses less digits than its factorization.

2325078120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2325078120 is about 48219.0638648243. The cubic root of 2325078120 is about 1324.7863654618.

The spelling of 2325078120 in words is "two billion, three hundred twenty-five million, seventy-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 617 620 744 930 1013 1234 1240 1851 1860 2026 2468 3039 3085 3702 3720 4052 4936 5065 6078 6170 7404 8104 9255 10130 12156 12340 14808 15195 18510 19127 20260 24312 24680 30390 31403 37020 38254 40520 57381 60780 62806 74040 76508 94209 95635 114762 121560 125612 153016 157015 188418 191270 229524 251224 286905 314030 376836 382540 459048 471045 573810 625021 628060 753672 765080 942090 1147620 1250042 1256120 1875063 1884180 2295240 2500084 3125105 3750126 3768360 5000168 6250210 7500252 9375315 12500420 15000504 18750630 19375651 25000840 37501260 38751302 58126953 75002520 77502604 96878255 116253906 155005208 193756510 232507812 290634765 387513020 465015624 581269530 775026040 1162539060 2325078120