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83130060 = 223513197541
BaseRepresentation
bin1001111010001…
…11011011001100
312210102110000010
410331013123030
5132240130220
612125433220
72026410456
oct475073314
9183373003
1083130060
1142a19932
1223a0b810
13142b7cb0
14b07d2d6
1574711e0
hex4f476cc

83130060 has 96 divisors (see below), whose sum is σ = 252407232. Its totient is φ = 20321280.

The previous prime is 83130059. The next prime is 83130071. The reversal of 83130060 is 6003138.

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, 153390 + ... + 153930.

It is an arithmetic number, because the mean of its divisors is an integer number (2629242).

Almost surely, 283130060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83130060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126203616).

83130060 is an abundant number, since it is smaller than the sum of its proper divisors (169277172).

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

83130060 is a wasteful number, since it uses less digits than its factorization.

83130060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 83130060 is about 9117.5687548820. The cubic root of 83130060 is about 436.4347919791.

Adding to 83130060 its reverse (6003138), we get a palindrome (89133198).

The spelling of 83130060 in words is "eighty-three million, one hundred thirty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 197 260 390 394 541 591 780 788 985 1082 1182 1623 1970 2164 2364 2561 2705 2955 3246 3940 5122 5410 5910 6492 7033 7683 8115 10244 10820 11820 12805 14066 15366 16230 21099 25610 28132 30732 32460 35165 38415 42198 51220 70330 76830 84396 105495 106577 140660 153660 210990 213154 319731 421980 426308 532885 639462 1065770 1278924 1385501 1598655 2131540 2771002 3197310 4156503 5542004 6394620 6927505 8313006 13855010 16626012 20782515 27710020 41565030 83130060