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89393760 = 2533520693
BaseRepresentation
bin1010101010000…
…00101001100000
320020012200012000
411111000221200
5140341100020
612512004000
72133556131
oct525005140
9206180160
1089393760
1146507945
1225b30600
131569c021
14bc2dc88
157cac090
hex5540a60

89393760 has 96 divisors (see below), whose sum is σ = 312893280. Its totient is φ = 23837184.

The previous prime is 89393749. The next prime is 89393761. The reversal of 89393760 is 6739398.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89393761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6027 + ... + 14666.

It is an arithmetic number, because the mean of its divisors is an integer number (3259305).

Almost surely, 289393760 is an apocalyptic number.

89393760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89393760 is an abundant number, since it is smaller than the sum of its proper divisors (223499520).

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

89393760 is a wasteful number, since it uses less digits than its factorization.

89393760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20717 (or 20703 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 89393760 is about 9454.8273384552. The cubic root of 89393760 is about 447.1319821070.

The spelling of 89393760 in words is "eighty-nine million, three hundred ninety-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 20693 41386 62079 82772 103465 124158 165544 186237 206930 248316 310395 331088 372474 413860 496632 558711 620790 662176 744948 827720 931185 993264 1117422 1241580 1489896 1655440 1862370 1986528 2234844 2483160 2793555 2979792 3310880 3724740 4469688 4966320 5587110 5959584 7449480 8939376 9932640 11174220 14898960 17878752 22348440 29797920 44696880 89393760