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89369920 = 2651914699
BaseRepresentation
bin1010101001110…
…10110101000000
320020011110111001
411110322311000
5140334314140
612511301344
72133426463
oct524726500
9206143431
1089369920
11464a0a42
1225b1a854
1315691213
14bc252da
157ca4e9a
hex553ad40

89369920 has 56 divisors (see below), whose sum is σ = 224028000. Its totient is φ = 33864192.

The previous prime is 89369887. The next prime is 89369923. The reversal of 89369920 is 2996398.

It is a happy number.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89369923) 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, 1270 + ... + 13429.

It is an arithmetic number, because the mean of its divisors is an integer number (4000500).

Almost surely, 289369920 is an apocalyptic number.

89369920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112014000).

89369920 is an abundant number, since it is smaller than the sum of its proper divisors (134658080).

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

89369920 is a wasteful number, since it uses less digits than its factorization.

89369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14735 (or 14725 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The square root of 89369920 is about 9453.5665227469. The cubic root of 89369920 is about 447.0922307337.

The spelling of 89369920 in words is "eighty-nine million, three hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 6080 14699 29398 58796 73495 117592 146990 235184 279281 293980 470368 558562 587960 940736 1117124 1175920 1396405 2234248 2351840 2792810 4468496 4703680 5585620 8936992 11171240 17873984 22342480 44684960 89369920