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2052525120 = 26358924023
BaseRepresentation
bin111101001010111…
…0000110001000000
312022001012002010220
41322111300301000
513200421300440
6535400423040
7101602114152
oct17225606100
95261162126
102052525120
11963662558
12493477a80
13269307c09
1415684cad2
15c02da8d0
hex7a570c40

2052525120 has 112 divisors (see below), whose sum is σ = 6590263680. Its totient is φ = 541167616.

The previous prime is 2052525113. The next prime is 2052525121. The reversal of 2052525120 is 215252502.

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

It is not an unprimeable number, because it can be changed into a prime (2052525121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 73429 + ... + 97451.

It is an arithmetic number, because the mean of its divisors is an integer number (58841640).

Almost surely, 22052525120 is an apocalyptic number.

2052525120 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 2052525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295131840).

2052525120 is an abundant number, since it is smaller than the sum of its proper divisors (4537738560).

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

2052525120 is a wasteful number, since it uses less digits than its factorization.

2052525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24132 (or 24122 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 2052525120 is about 45304.8023944482. The cubic root of 2052525120 is about 1270.8554634816.

Adding to 2052525120 its reverse (215252502), we get a palindrome (2267777622).

The spelling of 2052525120 in words is "two billion, fifty-two million, five hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 89 96 120 160 178 192 240 267 320 356 445 480 534 712 890 960 1068 1335 1424 1780 2136 2670 2848 3560 4272 5340 5696 7120 8544 10680 14240 17088 21360 24023 28480 42720 48046 72069 85440 96092 120115 144138 192184 240230 288276 360345 384368 480460 576552 720690 768736 960920 1153104 1441380 1537472 1921840 2138047 2306208 2882760 3843680 4276094 4612416 5765520 6414141 7687360 8552188 10690235 11531040 12828282 17104376 21380470 23062080 25656564 32070705 34208752 42760940 51313128 64141410 68417504 85521880 102626256 128282820 136835008 171043760 205252512 256565640 342087520 410505024 513131280 684175040 1026262560 2052525120