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89735920 = 2451121699
BaseRepresentation
bin1010101100101…
…00001011110000
320020212001112121
411112110023300
5140433022140
612523204024
72136512521
oct526241360
9206761477
1089735920
1146720a1a
1226076614
131578b9a1
14bcbc848
157d2864a
hex55942f0

89735920 has 20 divisors (see below), whose sum is σ = 208636200. Its totient is φ = 35894336.

The previous prime is 89735909. The next prime is 89735939. The reversal of 89735920 is 2953798.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 560770 + ... + 560929.

It is an arithmetic number, because the mean of its divisors is an integer number (10431810).

Almost surely, 289735920 is an apocalyptic number.

89735920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89735920 is an abundant number, since it is smaller than the sum of its proper divisors (118900280).

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

89735920 is a wasteful number, since it uses less digits than its factorization.

89735920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121712 (or 1121706 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 89735920 is about 9472.9045176229. The cubic root of 89735920 is about 447.7017306716.

The spelling of 89735920 in words is "eighty-nine million, seven hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1121699 2243398 4486796 5608495 8973592 11216990 17947184 22433980 44867960 89735920