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83060280 = 23325474909
BaseRepresentation
bin1001111001101…
…10011000111000
312210021220021200
410330312120320
5132230412110
612124134200
72026000152
oct474663070
9183256250
1083060280
1142981466
1223997360
13142922c4
14b061ad2
15745a6c0
hex4f36638

83060280 has 96 divisors (see below), whose sum is σ = 275745600. Its totient is φ = 21673728.

The previous prime is 83060269. The next prime is 83060281. The reversal of 83060280 is 8206038.

It is a super-2 number, since 2×830602802 = 13798020227356800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83060281) 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, 14466 + ... + 19374.

It is an arithmetic number, because the mean of its divisors is an integer number (2872350).

Almost surely, 283060280 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 83060280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137872800).

83060280 is an abundant number, since it is smaller than the sum of its proper divisors (192685320).

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

83060280 is a wasteful number, since it uses less digits than its factorization.

83060280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 83060280 is about 9113.7412734837. The cubic root of 83060280 is about 436.3126422417.

The spelling of 83060280 in words is "eighty-three million, sixty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 3384 4230 4909 5640 8460 9818 14727 16920 19636 24545 29454 39272 44181 49090 58908 73635 88362 98180 117816 147270 176724 196360 220905 230723 294540 353448 441810 461446 589080 692169 883620 922892 1153615 1384338 1767240 1845784 2076507 2307230 2768676 3460845 4153014 4614460 5537352 6921690 8306028 9228920 10382535 13843380 16612056 20765070 27686760 41530140 83060280