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90133280 = 2554331301
BaseRepresentation
bin1010101111101…
…01001100100000
320021121020121122
411113311030200
5141033231110
612535511412
72143056146
oct527651440
9207536548
1090133280
1146972516
1226228568
131589a803
14bd83596
157da6255
hex55f5320

90133280 has 48 divisors (see below), whose sum is σ = 213595704. Its totient is φ = 35942400.

The previous prime is 90133271. The next prime is 90133387. The reversal of 90133280 is 8233109.

It can be written as a sum of positive squares in 4 ways, for example, as 21641104 + 68492176 = 4652^2 + 8276^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 68630 + ... + 69930.

Almost surely, 290133280 is an apocalyptic number.

It is an amenable number.

90133280 is an abundant number, since it is smaller than the sum of its proper divisors (123462424).

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

90133280 is a wasteful number, since it uses less digits than its factorization.

90133280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 90133280 is about 9493.8548545888. The cubic root of 90133280 is about 448.3615809635.

Adding to 90133280 its reverse (8233109), we get a palindrome (98366389).

The spelling of 90133280 in words is "ninety million, one hundred thirty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 433 866 1301 1732 2165 2602 3464 4330 5204 6505 6928 8660 10408 13010 13856 17320 20816 26020 34640 41632 52040 69280 104080 208160 563333 1126666 2253332 2816665 4506664 5633330 9013328 11266660 18026656 22533320 45066640 90133280