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90530580 = 22357439491
BaseRepresentation
bin1010110010101…
…10001100010100
320022100102121110
411121112030110
5141133434310
612552215020
72146332360
oct531261424
9208312543
1090530580
1147113a68
122639a470
13159a95ba
14c0482a0
157e33d20
hex5656314

90530580 has 96 divisors (see below), whose sum is σ = 290949120. Its totient is φ = 20603520.

The previous prime is 90530579. The next prime is 90530621. The reversal of 90530580 is 8503509.

It is a super-3 number, since 3×905305803 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184135 + ... + 184625.

It is an arithmetic number, because the mean of its divisors is an integer number (3030720).

Almost surely, 290530580 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 90530580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145474560).

90530580 is an abundant number, since it is smaller than the sum of its proper divisors (200418540).

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

90530580 is a wasteful number, since it uses less digits than its factorization.

90530580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 90530580 is about 9514.7559085875. The cubic root of 90530580 is about 449.0193955606.

The spelling of 90530580 in words is "ninety million, five hundred thirty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 439 491 878 982 1317 1473 1756 1964 2195 2455 2634 2946 3073 3437 4390 4910 5268 5892 6146 6585 6874 7365 8780 9219 9820 10311 12292 13170 13748 14730 15365 17185 18438 20622 26340 29460 30730 34370 36876 41244 46095 51555 61460 68740 92190 103110 184380 206220 215549 431098 646647 862196 1077745 1293294 1508843 2155490 2586588 3017686 3233235 4310980 4526529 6035372 6466470 7544215 9053058 12932940 15088430 18106116 22632645 30176860 45265290 90530580