Search a number
-
+
2115239130 = 2335107211347
BaseRepresentation
bin111111000010011…
…1111110011011010
312110102012021121000
41332010333303122
513313000123010
6545520525430
7103263143634
oct17604776332
95412167530
102115239130
11995aa7514
124b0480876
132792c52b4
14160cd5a54
15c5a777c0
hex7e13fcda

2115239130 has 128 divisors (see below), whose sum is σ = 5736821760. Its totient is φ = 554541120.

The previous prime is 2115239117. The next prime is 2115239143. The reversal of 2115239130 is 319325112.

2115239130 is a `hidden beast` number, since 2 + 1 + 1 + 523 + 9 + 130 = 666.

It is an interprime number because it is at equal distance from previous prime (2115239117) and next prime (2115239143).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2115239094 and 2115239103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6095617 + ... + 6095963.

It is an arithmetic number, because the mean of its divisors is an integer number (44818920).

Almost surely, 22115239130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115239130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868410880).

2115239130 is an abundant number, since it is smaller than the sum of its proper divisors (3621582630).

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

2115239130 is a wasteful number, since it uses less digits than its factorization.

2115239130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 2115239130 is about 45991.7289303196. The cubic root of 2115239130 is about 1283.6693073612.

The spelling of 2115239130 in words is "two billion, one hundred fifteen million, two hundred thirty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 107 135 211 214 270 321 347 422 535 633 642 694 963 1041 1055 1070 1266 1605 1735 1899 1926 2082 2110 2889 3123 3165 3210 3470 3798 4815 5205 5697 5778 6246 6330 9369 9495 9630 10410 11394 14445 15615 18738 18990 22577 28485 28890 31230 37129 45154 46845 56970 67731 73217 74258 93690 111387 112885 135462 146434 185645 203193 219651 222774 225770 334161 338655 366085 371290 406386 439302 556935 609579 658953 668322 677310 732170 1002483 1015965 1098255 1113870 1219158 1317906 1670805 1976859 2004966 2031930 2196510 3047895 3294765 3341610 3953718 5012415 6095790 6589530 7834219 9884295 10024830 15668438 19768590 23502657 39171095 47005314 70507971 78342190 117513285 141015942 211523913 235026570 352539855 423047826 705079710 1057619565 2115239130