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1117680060 = 223573477669
BaseRepresentation
bin100001010011110…
…0111000110111100
32212220010000210210
41002213213012330
54242111230220
6302523432420
736461060310
oct10247470674
92786100723
101117680060
115239a0632
12272385710
1314a731163
14a8621b40
15681c96e0
hex429e71bc

1117680060 has 96 divisors (see below), whose sum is σ = 3587351040. Its totient is φ = 254700288.

The previous prime is 1117680043. The next prime is 1117680061. The reversal of 1117680060 is 600867111.

It is a happy number.

1117680060 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117680061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141906 + ... + 149574.

It is an arithmetic number, because the mean of its divisors is an integer number (37368240).

Almost surely, 21117680060 is an apocalyptic number.

1117680060 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 1117680060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793675520).

1117680060 is an abundant number, since it is smaller than the sum of its proper divisors (2469670980).

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

1117680060 is a wasteful number, since it uses less digits than its factorization.

1117680060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8035 (or 8033 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 1117680060 is about 33431.7223606562. The cubic root of 1117680060 is about 1037.7812845487.

The spelling of 1117680060 in words is "one billion, one hundred seventeen million, six hundred eighty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 347 420 694 1041 1388 1735 2082 2429 3470 4164 4858 5205 6940 7287 7669 9716 10410 12145 14574 15338 20820 23007 24290 29148 30676 36435 38345 46014 48580 53683 72870 76690 92028 107366 115035 145740 153380 161049 214732 230070 268415 322098 460140 536830 644196 805245 1073660 1610490 2661143 3220980 5322286 7983429 10644572 13305715 15966858 18628001 26611430 31933716 37256002 39917145 53222860 55884003 74512004 79834290 93140005 111768006 159668580 186280010 223536012 279420015 372560020 558840030 1117680060