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2530135092 = 2231741373811
BaseRepresentation
bin1001011011001110…
…1100110000110100
320112022220011212010
42112303230300310
520140203310332
61055021324220
7116461536102
oct22663546064
96468804763
102530135092
111089216a41
125a7406670
13314250a74
141a0056c72
15ec1ce9cc
hex96cecc34

2530135092 has 96 divisors (see below), whose sum is σ = 6428467584. Its totient is φ = 771379200.

The previous prime is 2530135087. The next prime is 2530135121. The reversal of 2530135092 is 2905310352.

2530135092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3119367 + ... + 3120177.

It is an arithmetic number, because the mean of its divisors is an integer number (66963204).

Almost surely, 22530135092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2530135092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214233792).

2530135092 is an abundant number, since it is smaller than the sum of its proper divisors (3898332492).

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

2530135092 is a wasteful number, since it uses less digits than its factorization.

2530135092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 2530135092 is about 50300.4482286192. The cubic root of 2530135092 is about 1362.6403241497.

The spelling of 2530135092 in words is "two billion, five hundred thirty million, one hundred thirty-five thousand, ninety-two".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 373 492 697 746 811 1119 1394 1492 1622 2091 2238 2433 2788 3244 4182 4476 4866 6341 8364 9732 12682 13787 15293 19023 25364 27574 30586 33251 38046 41361 45879 55148 61172 66502 76092 82722 91758 99753 133004 165444 183516 199506 259981 302503 399012 519962 565267 605006 779943 907509 1039924 1130534 1210012 1559886 1695801 1815018 2261068 3119772 3391602 3630036 5142551 6783204 10285102 12402623 15427653 20570204 24805246 30855306 37207869 49610492 61710612 74415738 148831476 210844591 421689182 632533773 843378364 1265067546 2530135092