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90195080 = 23541431279
BaseRepresentation
bin1010110000001…
…00010010001000
320021201101101112
411120010102020
5141042220310
612541105452
72143434263
oct530042210
9207641345
1090195080
1146a04998
1226258288
13158bc991
14bd9bcda
157db9705
hex5604488

90195080 has 64 divisors (see below), whose sum is σ = 212889600. Its totient is φ = 34352640.

The previous prime is 90195073. The next prime is 90195097. The reversal of 90195080 is 8059109.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69881 + ... + 71159.

It is an arithmetic number, because the mean of its divisors is an integer number (3326400).

Almost surely, 290195080 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 90195080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106444800).

90195080 is an abundant number, since it is smaller than the sum of its proper divisors (122694520).

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

90195080 is a wasteful number, since it uses less digits than its factorization.

90195080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 32.

The square root of 90195080 is about 9497.1090338060. The cubic root of 90195080 is about 448.4640307847.

The spelling of 90195080 in words is "ninety million, one hundred ninety-five thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 41 43 82 86 164 172 205 215 328 344 410 430 820 860 1279 1640 1720 1763 2558 3526 5116 6395 7052 8815 10232 12790 14104 17630 25580 35260 51160 52439 54997 70520 104878 109994 209756 219988 262195 274985 419512 439976 524390 549970 1048780 1099940 2097560 2199880 2254877 4509754 9019508 11274385 18039016 22548770 45097540 90195080