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2355053120 = 26574125643
BaseRepresentation
bin1000110001011111…
…0100001001000000
320002010110002112122
42030113310021000
514310343144440
61025404543412
7112234423040
oct21427641100
96063402478
102355053120
11aa94032a2
12558851b68
132b6bac574
14184abd720
15dbb487b5
hex8c5f4240

2355053120 has 112 divisors (see below), whose sum is σ = 6565684608. Its totient is φ = 787722240.

The previous prime is 2355053117. The next prime is 2355053123. The reversal of 2355053120 is 213505532.

It is an interprime number because it is at equal distance from previous prime (2355053117) and next prime (2355053123).

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 2355053120.

It is not an unprimeable number, because it can be changed into a prime (2355053123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79019 + ... + 104661.

It is an arithmetic number, because the mean of its divisors is an integer number (58622184).

Almost surely, 22355053120 is an apocalyptic number.

2355053120 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 2355053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282842304).

2355053120 is an abundant number, since it is smaller than the sum of its proper divisors (4210631488).

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

2355053120 is a wasteful number, since it uses less digits than its factorization.

2355053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25708 (or 25698 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 2355053120 is about 48528.8895401492. The cubic root of 2355053120 is about 1330.4551403634.

Adding to 2355053120 its reverse (213505532), we get a palindrome (2568558652).

The spelling of 2355053120 in words is "two billion, three hundred fifty-five million, fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 140 160 164 205 224 280 287 320 328 410 448 560 574 656 820 1120 1148 1312 1435 1640 2240 2296 2624 2870 3280 4592 5740 6560 9184 11480 13120 18368 22960 25643 45920 51286 91840 102572 128215 179501 205144 256430 359002 410288 512860 718004 820576 897505 1025720 1051363 1436008 1641152 1795010 2051440 2102726 2872016 3590020 4102880 4205452 5256815 5744032 7180040 7359541 8205760 8410904 10513630 11488064 14360080 14719082 16821808 21027260 28720160 29438164 33643616 36797705 42054520 57440320 58876328 67287232 73595410 84109040 117752656 147190820 168218080 235505312 294381640 336436160 471010624 588763280 1177526560 2355053120