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90131080 = 23513267199
BaseRepresentation
bin1010101111101…
…00101010001000
320021121010121011
411113310222020
5141033143310
612535453304
72143046554
oct527645210
9207533534
1090131080
11469708a6
1226227234
1315899800
14bd82864
157da578a
hex55f4a88

90131080 has 96 divisors (see below), whose sum is σ = 223992000. Its totient is φ = 32617728.

The previous prime is 90131071. The next prime is 90131081. The reversal of 90131080 is 8013109.

It is a super-2 number, since 2×901310802 = 16247223163932800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90131081) 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 23 ways as a sum of consecutive naturals, for example, 452821 + ... + 453019.

It is an arithmetic number, because the mean of its divisors is an integer number (2333250).

Almost surely, 290131080 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 90131080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111996000).

90131080 is an abundant number, since it is smaller than the sum of its proper divisors (133860920).

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

90131080 is a wasteful number, since it uses less digits than its factorization.

90131080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 90131080 is about 9493.7389894604. The cubic root of 90131080 is about 448.3579330194.

Adding to 90131080 its reverse (8013109), we get a palindrome (98144189).

The spelling of 90131080 in words is "ninety million, one hundred thirty-one thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 67 104 130 134 169 199 260 268 335 338 398 520 536 670 676 796 845 871 995 1340 1352 1592 1690 1742 1990 2587 2680 3380 3484 3980 4355 5174 6760 6968 7960 8710 10348 11323 12935 13333 17420 20696 22646 25870 26666 33631 34840 45292 51740 53332 56615 66665 67262 90584 103480 106664 113230 133330 134524 168155 173329 226460 266660 269048 336310 346658 452920 533320 672620 693316 866645 1345240 1386632 1733290 2253277 3466580 4506554 6933160 9013108 11266385 18026216 22532770 45065540 90131080