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2130862160 = 245719271739
BaseRepresentation
bin111111100000010…
…0110000001010000
312111111121000100202
41333000212001100
513331000042120
6551235434332
7103543013060
oct17700460120
95444530322
102130862160
119a38a8309
124b57559a8
1327c6053ab
141630013a0
15c7111875
hex7f026050

2130862160 has 160 divisors (see below), whose sum is σ = 5990092800. Its totient is φ = 688642560.

The previous prime is 2130862109. The next prime is 2130862177. The reversal of 2130862160 is 612680312.

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, 2883071 + ... + 2883809.

It is an arithmetic number, because the mean of its divisors is an integer number (37438080).

Almost surely, 22130862160 is an apocalyptic number.

2130862160 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 2130862160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995046400).

2130862160 is an abundant number, since it is smaller than the sum of its proper divisors (3859230640).

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

2130862160 is a wasteful number, since it uses less digits than its factorization.

2130862160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2130862160 is about 46161.2625477250. The cubic root of 2130862160 is about 1286.8219266707.

The spelling of 2130862160 in words is "two billion, one hundred thirty million, eight hundred sixty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 271 280 304 380 532 542 560 665 739 760 1064 1084 1330 1355 1478 1520 1897 2128 2168 2660 2710 2956 3695 3794 4336 5149 5173 5320 5420 5912 7390 7588 9485 10298 10346 10640 10840 11824 14041 14780 15176 18970 20596 20692 21680 25745 25865 28082 29560 30352 36043 37940 41192 41384 51490 51730 56164 59120 70205 72086 75880 82384 82768 98287 102980 103460 112328 140410 144172 151760 180215 196574 200269 205960 206920 224656 280820 288344 360430 393148 400538 411920 413840 491435 561640 576688 720860 786296 801076 982870 1001345 1123280 1401883 1441720 1572592 1602152 1965740 2002690 2803766 2883440 3204304 3805111 3931480 4005380 5607532 7009415 7610222 7862960 8010760 11215064 14018830 15220444 16021520 19025555 22430128 26635777 28037660 30440888 38051110 53271554 56075320 60881776 76102220 106543108 112150640 133178885 152204440 213086216 266357770 304408880 426172432 532715540 1065431080 2130862160