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83768980 = 2254188449
BaseRepresentation
bin1001111111000…
…11011010010100
312211121220102211
410333203122110
5132421101410
612151243204
72035011301
oct477433224
9184556384
1083768980
1143315969
1224079504
131447ca59
14b1a80a8
15754a68a
hex4fe3694

83768980 has 12 divisors (see below), whose sum is σ = 175914900. Its totient is φ = 33507584.

The previous prime is 83768969. The next prime is 83768987. The reversal of 83768980 is 8986738.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20757136 + 63011844 = 4556^2 + 7938^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83768987) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2094205 + ... + 2094244.

It is an arithmetic number, because the mean of its divisors is an integer number (14659575).

Almost surely, 283768980 is an apocalyptic number.

It is an amenable number.

83768980 is an abundant number, since it is smaller than the sum of its proper divisors (92145920).

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

83768980 is a wasteful number, since it uses less digits than its factorization.

83768980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188458 (or 4188456 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 83768980 is about 9152.5395382921. The cubic root of 83768980 is about 437.5500546812.

It can be divided in two parts, 83768 and 980, that added together give a palindrome (84748).

The spelling of 83768980 in words is "eighty-three million, seven hundred sixty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 4188449 8376898 16753796 20942245 41884490 83768980