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2530122320 = 2451122312893
BaseRepresentation
bin1001011011001110…
…1001101001010000
320112022212112100002
42112303221221100
520140202403240
61055021145132
7116461453625
oct22663515120
96468775302
102530122320
111089208390
125a73bb1a8
13314247ccb
141a005234c
15ec1cad15
hex96ce9a50

2530122320 has 80 divisors (see below), whose sum is σ = 6446587392. Its totient is φ = 915847680.

The previous prime is 2530122307. The next prime is 2530122323. The reversal of 2530122320 is 232210352.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2530122292 and 2530122301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530122323) 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, 189794 + ... + 202686.

Almost surely, 22530122320 is an apocalyptic number.

2530122320 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 2530122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223293696).

2530122320 is an abundant number, since it is smaller than the sum of its proper divisors (3916465072).

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

2530122320 is a wasteful number, since it uses less digits than its factorization.

2530122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13140 (or 13134 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2530122320 is about 50300.3212713398. The cubic root of 2530122320 is about 1362.6380312983.

Adding to 2530122320 its reverse (232210352), we get a palindrome (2762332672).

The spelling of 2530122320 in words is "two billion, five hundred thirty million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 223 440 446 880 892 1115 1784 2230 2453 3568 4460 4906 8920 9812 12265 12893 17840 19624 24530 25786 39248 49060 51572 64465 98120 103144 128930 141823 196240 206288 257860 283646 515720 567292 709115 1031440 1134584 1418230 2269168 2836460 2875139 5672920 5750278 11345840 11500556 14375695 23001112 28751390 31626529 46002224 57502780 63253058 115005560 126506116 158132645 230011120 253012232 316265290 506024464 632530580 1265061160 2530122320