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89995560 = 233543107163
BaseRepresentation
bin1010101110100…
…11100100101000
320021100020200220
411113103210220
5141014324220
612532530040
72141643504
oct527234450
9207306626
1089995560
1146888aa6
1226180920
131584cc15
14bd49304
157d7a540
hex55d3928

89995560 has 128 divisors (see below), whose sum is σ = 280558080. Its totient is φ = 23079168.

The previous prime is 89995531. The next prime is 89995567. The reversal of 89995560 is 6559998.

It is not an unprimeable number, because it can be changed into a prime (89995567) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 552039 + ... + 552201.

It is an arithmetic number, because the mean of its divisors is an integer number (2191860).

Almost surely, 289995560 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 89995560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140279040).

89995560 is an abundant number, since it is smaller than the sum of its proper divisors (190562520).

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

89995560 is a wasteful number, since it uses less digits than its factorization.

89995560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 51.

The square root of 89995560 is about 9486.5989690721. The cubic root of 89995560 is about 448.1331051134.

The spelling of 89995560 in words is "eighty-nine million, nine hundred ninety-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 107 120 129 163 172 214 215 258 321 326 344 428 430 489 516 535 642 645 652 815 856 860 978 1032 1070 1284 1290 1304 1605 1630 1720 1956 2140 2445 2568 2580 3210 3260 3912 4280 4601 4890 5160 6420 6520 7009 9202 9780 12840 13803 14018 17441 18404 19560 21027 23005 27606 28036 34882 35045 36808 42054 46010 52323 55212 56072 69015 69764 70090 84108 87205 92020 104646 105135 110424 138030 139528 140180 168216 174410 184040 209292 210270 261615 276060 280360 348820 418584 420540 523230 552120 697640 749963 841080 1046460 1499926 2092920 2249889 2999852 3749815 4499778 5999704 7499630 8999556 11249445 14999260 17999112 22498890 29998520 44997780 89995560