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83088940 = 225112931289
BaseRepresentation
bin1001111001111…
…01011000101100
312210100100121011
410330331120230
5132232321230
612124515004
72026146544
oct474753054
9183310534
1083088940
11429a0a50
12239aba64
13142a236c
14b06c324
157463e2a
hex4f3d62c

83088940 has 48 divisors (see below), whose sum is σ = 191147040. Its totient is φ = 30087680.

The previous prime is 83088931. The next prime is 83088991. The reversal of 83088940 is 4988038.

It is a junction number, because it is equal to n+sod(n) for n = 83088893 and 83088902.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63816 + ... + 65104.

It is an arithmetic number, because the mean of its divisors is an integer number (3982230).

Almost surely, 283088940 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 83088940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95573520).

83088940 is an abundant number, since it is smaller than the sum of its proper divisors (108058100).

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

83088940 is a wasteful number, since it uses less digits than its factorization.

83088940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 83088940 is about 9115.3134888494. The cubic root of 83088940 is about 436.3628197849.

The spelling of 83088940 in words is "eighty-three million, eighty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 293 586 1172 1289 1465 2578 2930 3223 5156 5860 6445 6446 12890 12892 14179 16115 25780 28358 32230 56716 64460 70895 141790 283580 377677 755354 1510708 1888385 3776770 4154447 7553540 8308894 16617788 20772235 41544470 83088940