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1230118080 = 26354131253
BaseRepresentation
bin100100101010010…
…0001110011000000
310011201200110202220
41021110201303000
510004402234310
6322021411040
742324555042
oct11124416300
93151613686
101230118080
11581407a14
122a3b69a80
13167b0b129
14b952da92
1572ed9670
hex49521cc0

1230118080 has 112 divisors (see below), whose sum is σ = 4001012064. Its totient is φ = 320020480.

The previous prime is 1230118069. The next prime is 1230118111. The reversal of 1230118080 is 808110321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1230118080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23734 + ... + 54986.

It is an arithmetic number, because the mean of its divisors is an integer number (35723322).

Almost surely, 21230118080 is an apocalyptic number.

1230118080 is a gapful number since it is divisible by the number (10) 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 1230118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000506032).

1230118080 is an abundant number, since it is smaller than the sum of its proper divisors (2770893984).

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

1230118080 is a wasteful number, since it uses less digits than its factorization.

1230118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31314 (or 31304 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1230118080 is about 35073.0392181801. The cubic root of 1230118080 is about 1071.4755547143.

It can be divided in two parts, 12301 and 18080, that added together give a triangular number (30381 = T246).

The spelling of 1230118080 in words is "one billion, two hundred thirty million, one hundred eighteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1640 1968 2460 2624 3280 3936 4920 6560 7872 9840 13120 19680 31253 39360 62506 93759 125012 156265 187518 250024 312530 375036 468795 500048 625060 750072 937590 1000096 1250120 1281373 1500144 1875180 2000192 2500240 2562746 3000288 3750360 3844119 5000480 5125492 6000576 6406865 7500720 7688238 10000960 10250984 12813730 15001440 15376476 19220595 20501968 25627460 30002880 30752952 38441190 41003936 51254920 61505904 76882380 82007872 102509840 123011808 153764760 205019680 246023616 307529520 410039360 615059040 1230118080