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83914740 = 2232571347109
BaseRepresentation
bin1010000000001…
…10111111110100
312211220022101100
411000012333310
5132440232430
612154330100
72036156250
oct500067764
9184808340
1083914740
1143405428
1224129930
13145011c0
14b205260
157578960
hex5006ff4

83914740 has 288 divisors, whose sum is σ = 322882560. Its totient is φ = 17169408.

The previous prime is 83914729. The next prime is 83914757. The reversal of 83914740 is 4741938.

It is a happy number.

It is a super-3 number, since 3×839147403 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83914695 and 83914704.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 769806 + ... + 769914.

It is an arithmetic number, because the mean of its divisors is an integer number (1121120).

Almost surely, 283914740 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 83914740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161441280).

83914740 is an abundant number, since it is smaller than the sum of its proper divisors (238967820).

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

83914740 is a wasteful number, since it uses less digits than its factorization.

83914740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 83914740 is about 9160.4988947109. The cubic root of 83914740 is about 437.8036900975.

It can be divided in two parts, 8391 and 4740, that added together give a palindrome (13131).

The spelling of 83914740 in words is "eighty-three million, nine hundred fourteen thousand, seven hundred forty".