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2613132030 = 235376138593
BaseRepresentation
bin1001101111000001…
…0011101011111110
320202010001212020210
42123300103223332
520322430211110
61111144253250
7121520153505
oct23360235376
96663055223
102613132030
111121054853
1260b171226
133284c0292
141ab09d83c
15104626520
hex9bc13afe

2613132030 has 64 divisors (see below), whose sum is σ = 6546777408. Its totient is φ = 666869760.

The previous prime is 2613132019. The next prime is 2613132031. The reversal of 2613132030 is 302313162.

It is a junction number, because it is equal to n+sod(n) for n = 2613131988 and 2613132006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2613132031) 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 31 ways as a sum of consecutive naturals, for example, 48414 + ... + 87006.

It is an arithmetic number, because the mean of its divisors is an integer number (102293397).

Almost surely, 22613132030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2613132030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273388704).

2613132030 is an abundant number, since it is smaller than the sum of its proper divisors (3933645378).

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

2613132030 is a wasteful number, since it uses less digits than its factorization.

2613132030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38701.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 2613132030 is about 51118.8030963167. The cubic root of 2613132030 is about 1377.3800374888.

Adding to 2613132030 its reverse (302313162), we get a palindrome (2915445192).

The spelling of 2613132030 in words is "two billion, six hundred thirteen million, one hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 37 61 74 111 122 183 185 222 305 366 370 555 610 915 1110 1830 2257 4514 6771 11285 13542 22570 33855 38593 67710 77186 115779 192965 231558 385930 578895 1157790 1427941 2354173 2855882 4283823 4708346 7062519 7139705 8567646 11770865 14125038 14279410 21419115 23541730 35312595 42838230 70625190 87104401 174208802 261313203 435522005 522626406 871044010 1306566015 2613132030