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83030940 = 22335179859
BaseRepresentation
bin1001111001011…
…11001110011100
312210020102001000
410330233032130
5132223442230
612123350300
72025515466
oct474571634
9183212030
1083030940
1142961413
1223982390
1314281b45
14b055136
157451b60
hex4f2f39c

83030940 has 96 divisors (see below), whose sum is σ = 260064000. Its totient is φ = 21992256.

The previous prime is 83030921. The next prime is 83030951. The reversal of 83030940 is 4903038.

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

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, 96231 + ... + 97089.

It is an arithmetic number, because the mean of its divisors is an integer number (2709000).

Almost surely, 283030940 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 83030940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130032000).

83030940 is an abundant number, since it is smaller than the sum of its proper divisors (177033060).

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

83030940 is a wasteful number, since it uses less digits than its factorization.

83030940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 83030940 is about 9112.1314740296. The cubic root of 83030940 is about 436.2612622057.

Adding to 83030940 its reverse (4903038), we get a palindrome (87933978).

The spelling of 83030940 in words is "eighty-three million, thirty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 179 180 270 358 537 540 716 859 895 1074 1611 1718 1790 2148 2577 2685 3222 3436 3580 4295 4833 5154 5370 6444 7731 8055 8590 9666 10308 10740 12885 15462 16110 17180 19332 23193 24165 25770 30924 32220 38655 46386 48330 51540 77310 92772 96660 115965 153761 154620 231930 307522 461283 463860 615044 768805 922566 1383849 1537610 1845132 2306415 2767698 3075220 4151547 4612830 5535396 6919245 8303094 9225660 13838490 16606188 20757735 27676980 41515470 83030940