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90131360 = 2551183617
BaseRepresentation
bin1010101111101…
…00101110100000
320021121010222112
411113310232200
5141033200420
612535454452
72143050434
oct527645640
9207533875
1090131360
1146971030
1226227428
1315899987
14bd829c4
157da58c5
hex55f4ba0

90131360 has 96 divisors (see below), whose sum is σ = 235472832. Its totient is φ = 32327680.

The previous prime is 90131351. The next prime is 90131381. The reversal of 90131360 is 6313109.

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, 145772 + ... + 146388.

It is an arithmetic number, because the mean of its divisors is an integer number (2452842).

Almost surely, 290131360 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 90131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117736416).

90131360 is an abundant number, since it is smaller than the sum of its proper divisors (145341472).

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

90131360 is a wasteful number, since it uses less digits than its factorization.

90131360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 90131360 is about 9493.7537360098. The cubic root of 90131360 is about 448.3583973065.

Adding to 90131360 its reverse (6313109), we get a palindrome (96444469).

The spelling of 90131360 in words is "ninety million, one hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 83 88 110 160 166 176 220 332 352 415 440 617 664 830 880 913 1234 1328 1660 1760 1826 2468 2656 3085 3320 3652 4565 4936 6170 6640 6787 7304 9130 9872 12340 13280 13574 14608 18260 19744 24680 27148 29216 33935 36520 49360 51211 54296 67870 73040 98720 102422 108592 135740 146080 204844 217184 256055 271480 409688 512110 542960 563321 819376 1024220 1085920 1126642 1638752 2048440 2253284 2816605 4096880 4506568 5633210 8193760 9013136 11266420 18026272 22532840 45065680 90131360