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83106280 = 2356013457
BaseRepresentation
bin1001111010000…
…01100111101000
312210101020101101
410331001213220
5132233400110
612125131144
72026251235
oct475014750
9183336341
1083106280
1142a02a84
12239b9ab4
13142aa21a
14b07478c
15746913a
hex4f419e8

83106280 has 32 divisors (see below), whose sum is σ = 187354440. Its totient is φ = 33177600.

The previous prime is 83106277. The next prime is 83106301. The reversal of 83106280 is 8260138.

It can be written as a sum of positive squares in 4 ways, for example, as 55920484 + 27185796 = 7478^2 + 5214^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22312 + ... + 25768.

Almost surely, 283106280 is an apocalyptic number.

It is an amenable number.

83106280 is an abundant number, since it is smaller than the sum of its proper divisors (104248160).

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

83106280 is a wasteful number, since it uses less digits than its factorization.

83106280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 83106280 is about 9116.2645858926. The cubic root of 83106280 is about 436.3931728218.

The spelling of 83106280 in words is "eighty-three million, one hundred six thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 601 1202 2404 3005 3457 4808 6010 6914 12020 13828 17285 24040 27656 34570 69140 138280 2077657 4155314 8310628 10388285 16621256 20776570 41553140 83106280