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2675253160 = 235471678521
BaseRepresentation
bin1001111101110101…
…0001111110101000
320220102221221102101
42133131101332220
520434331100120
61121243543144
7123203163616
oct23735217650
96812857371
102675253160
111153124328
12627b2aab4
13338330848
141b54306b6
15109ce790a
hex9f751fa8

2675253160 has 64 divisors (see below), whose sum is σ = 6184926720. Its totient is φ = 1040939520.

The previous prime is 2675253137. The next prime is 2675253167. The reversal of 2675253160 is 613525762.

It is not an unprimeable number, because it can be changed into a prime (2675253167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309700 + ... + 318220.

It is an arithmetic number, because the mean of its divisors is an integer number (96639480).

Almost surely, 22675253160 is an apocalyptic number.

2675253160 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 2675253160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092463360).

2675253160 is an abundant number, since it is smaller than the sum of its proper divisors (3509673560).

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

2675253160 is a wasteful number, since it uses less digits than its factorization.

2675253160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8746 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 2675253160 is about 51722.8494961366. The cubic root of 2675253160 is about 1388.2093395413.

The spelling of 2675253160 in words is "two billion, six hundred seventy-five million, two hundred fifty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 47 94 167 188 235 334 376 470 668 835 940 1336 1670 1880 3340 6680 7849 8521 15698 17042 31396 34084 39245 42605 62792 68168 78490 85210 156980 170420 313960 340840 400487 800974 1423007 1601948 2002435 2846014 3203896 4004870 5692028 7115035 8009740 11384056 14230070 16019480 28460140 56920280 66881329 133762658 267525316 334406645 535050632 668813290 1337626580 2675253160