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83378120 = 2357297779
BaseRepresentation
bin1001111100000…
…11111111001000
312210220001021112
410332003333020
5132321044440
612135025452
72031462620
oct476037710
9183801245
1083378120
1143079241
1223b0b288
1314373b87
14b105880
1574be965
hex4f83fc8

83378120 has 32 divisors (see below), whose sum is σ = 214401600. Its totient is φ = 28586688.

The previous prime is 83378117. The next prime is 83378129. The reversal of 83378120 is 2187338.

It is not an unprimeable number, because it can be changed into a prime (83378129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148610 + ... + 149169.

It is an arithmetic number, because the mean of its divisors is an integer number (6700050).

Almost surely, 283378120 is an apocalyptic number.

It is an amenable number.

83378120 is an abundant number, since it is smaller than the sum of its proper divisors (131023480).

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

83378120 is a wasteful number, since it uses less digits than its factorization.

83378120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297797 (or 297793 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 83378120 is about 9131.1620290081. The cubic root of 83378120 is about 436.8684678684.

The spelling of 83378120 in words is "eighty-three million, three hundred seventy-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 297779 595558 1191116 1488895 2084453 2382232 2977790 4168906 5955580 8337812 10422265 11911160 16675624 20844530 41689060 83378120