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89869120 = 265113211
BaseRepresentation
bin1010101101101…
…00101101000000
320021002211020221
411112310231000
5141001302440
612530112424
72140606045
oct526645500
9207084227
1089869120
1146802000
122611b714
13158074c3
14bd151cc
157d52d4a
hex55b4b40

89869120 has 112 divisors (see below), whose sum is σ = 236500416. Its totient is φ = 32524800.

The previous prime is 89869111. The next prime is 89869127. The reversal of 89869120 is 2196898.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89869127) 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, 425815 + ... + 426025.

Almost surely, 289869120 is an apocalyptic number.

89869120 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 89869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118250208).

89869120 is an abundant number, since it is smaller than the sum of its proper divisors (146631296).

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

89869120 is a wasteful number, since it uses less digits than its factorization.

89869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 89869120 is about 9479.9324892111. The cubic root of 89869120 is about 447.9231373237.

The spelling of 89869120 in words is "eighty-nine million, eight hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 211 220 242 320 352 422 440 484 605 704 844 880 968 1055 1210 1331 1688 1760 1936 2110 2321 2420 2662 3376 3520 3872 4220 4642 4840 5324 6655 6752 7744 8440 9284 9680 10648 11605 13310 13504 16880 18568 19360 21296 23210 25531 26620 33760 37136 38720 42592 46420 51062 53240 67520 74272 85184 92840 102124 106480 127655 148544 185680 204248 212960 255310 280841 371360 408496 425920 510620 561682 742720 816992 1021240 1123364 1404205 1633984 2042480 2246728 2808410 4084960 4493456 5616820 8169920 8986912 11233640 17973824 22467280 44934560 89869120