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83080540 = 22519237311
BaseRepresentation
bin1001111001110…
…11010101011100
312210022221002001
410330323111130
5132232034130
612124412044
72026113214
oct474732534
9183287061
1083080540
1142995704
12239a7024
131429b5aa
14b069244
1574616ca
hex4f3b55c

83080540 has 72 divisors (see below), whose sum is σ = 189719712. Its totient is φ = 30533760.

The previous prime is 83080511. The next prime is 83080549. The reversal of 83080540 is 4508038.

It is a super-2 number, since 2×830805402 = 13804752253383200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83080499 and 83080508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83080549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266985 + ... + 267295.

It is an arithmetic number, because the mean of its divisors is an integer number (2634996).

Almost surely, 283080540 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 83080540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94859856).

83080540 is an abundant number, since it is smaller than the sum of its proper divisors (106639172).

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

83080540 is a wasteful number, since it uses less digits than its factorization.

83080540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 83080540 is about 9114.8527141145. The cubic root of 83080540 is about 436.3481143732.

Adding to 83080540 its reverse (4508038), we get a palindrome (87588578).

The spelling of 83080540 in words is "eighty-three million, eighty thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 311 361 370 380 622 703 722 740 1244 1406 1444 1555 1805 2812 3110 3515 3610 5909 6220 7030 7220 11507 11818 13357 14060 23014 23636 26714 29545 46028 53428 57535 59090 66785 112271 115070 118180 133570 218633 224542 230140 267140 437266 449084 561355 874532 1093165 1122710 2186330 2245420 4154027 4372660 8308054 16616108 20770135 41540270 83080540