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2538029130 = 2357131934817
BaseRepresentation
bin1001011101000111…
…0100000001001010
320112212202020102220
42113101310001022
520144213413010
61055502434510
7116615614560
oct22721640112
96485666386
102538029130
11109271893a
125a9b92a36
13315a85bb0
141a110da30
15ecc3d970
hex9747404a

2538029130 has 128 divisors (see below), whose sum is σ = 7537356288. Its totient is φ = 532611072.

The previous prime is 2538029113. The next prime is 2538029159. The reversal of 2538029130 is 319208352.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2538029091 and 2538029100.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 524482 + ... + 529298.

It is an arithmetic number, because the mean of its divisors is an integer number (58885596).

Almost surely, 22538029130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2538029130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768678144).

2538029130 is an abundant number, since it is smaller than the sum of its proper divisors (4999327158).

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

2538029130 is a wasteful number, since it uses less digits than its factorization.

2538029130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2538029130 is about 50378.8559814532. The cubic root of 2538029130 is about 1364.0560017627.

The spelling of 2538029130 in words is "two billion, five hundred thirty-eight million, twenty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 193 195 210 273 386 390 455 546 579 910 965 1158 1351 1365 1930 2509 2702 2730 2895 4053 4817 5018 5790 6755 7527 8106 9634 12545 13510 14451 15054 17563 20265 24085 25090 28902 33719 35126 37635 40530 48170 52689 62621 67438 72255 75270 87815 101157 105378 125242 144510 168595 175630 187863 202314 263445 313105 337190 375726 438347 505785 526890 626210 876694 929681 939315 1011570 1315041 1859362 1878630 2191735 2630082 2789043 4383470 4648405 5578086 6507767 6575205 9296810 12085853 13015534 13150410 13945215 19523301 24171706 27890430 32538835 36257559 39046602 60429265 65077670 72515118 84600971 97616505 120858530 169201942 181287795 195233010 253802913 362575590 423004855 507605826 846009710 1269014565 2538029130