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90318280 = 23513172601
BaseRepresentation
bin1010110001000…
…10010111001000
320021221122101111
411120202113020
5141110141110
612543500104
72144456413
oct530422710
9207848344
1090318280
1146a89508
12262b7634
1315933a90
14bdd0b7a
157de0e8a
hex56225c8

90318280 has 96 divisors (see below), whose sum is σ = 232865640. Its totient is φ = 31334400.

The previous prime is 90318271. The next prime is 90318313. The reversal of 90318280 is 8281309.

It can be written as a sum of positive squares in 12 ways, for example, as 29571844 + 60746436 = 5438^2 + 7794^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149980 + ... + 150580.

Almost surely, 290318280 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 90318280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116432820).

90318280 is an abundant number, since it is smaller than the sum of its proper divisors (142547360).

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

90318280 is a wasteful number, since it uses less digits than its factorization.

90318280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 90318280 is about 9503.5930047535. The cubic root of 90318280 is about 448.6681277690.

Adding to 90318280 its reverse (8281309), we get a palindrome (98599589).

The spelling of 90318280 in words is "ninety million, three hundred eighteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 289 340 442 520 578 601 680 884 1105 1156 1202 1445 1768 2210 2312 2404 2890 3005 3757 4420 4808 5780 6010 7514 7813 8840 10217 11560 12020 15028 15626 18785 20434 24040 30056 31252 37570 39065 40868 51085 62504 75140 78130 81736 102170 132821 150280 156260 173689 204340 265642 312520 347378 408680 531284 664105 694756 868445 1062568 1328210 1389512 1736890 2257957 2656420 3473780 4515914 5312840 6947560 9031828 11289785 18063656 22579570 45159140 90318280