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90243660 = 223513127911
BaseRepresentation
bin1010110000100…
…00001001001100
320021210212000210
411120100021030
5141100244120
612542122420
72144026023
oct530201114
9207725023
1090243660
1146a38441
1226280410
1315908b20
14bdb18ba
157dc8ce0
hex561024c

90243660 has 96 divisors (see below), whose sum is σ = 274563072. Its totient is φ = 22014720.

The previous prime is 90243649. The next prime is 90243689. The reversal of 90243660 is 6634209.

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

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, 98605 + ... + 99515.

It is an arithmetic number, because the mean of its divisors is an integer number (2860032).

Almost surely, 290243660 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 90243660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137281536).

90243660 is an abundant number, since it is smaller than the sum of its proper divisors (184319412).

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

90243660 is a wasteful number, since it uses less digits than its factorization.

90243660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 90243660 is about 9499.6663099290. Note that the first 3 decimals coincide. The cubic root of 90243660 is about 448.5445321171.

Adding to 90243660 its reverse (6634209), we get a palindrome (96877869).

It can be divided in two parts, 902436 and 60, that added together give a triangular number (902496 = T1343).

The spelling of 90243660 in words is "ninety million, two hundred forty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 127 130 156 195 254 260 381 390 508 635 762 780 911 1270 1524 1651 1822 1905 2540 2733 3302 3644 3810 4555 4953 5466 6604 7620 8255 9110 9906 10932 11843 13665 16510 18220 19812 23686 24765 27330 33020 35529 47372 49530 54660 59215 71058 99060 115697 118430 142116 177645 231394 236860 347091 355290 462788 578485 694182 710580 1156970 1388364 1504061 1735455 2313940 3008122 3470910 4512183 6016244 6941820 7520305 9024366 15040610 18048732 22560915 30081220 45121830 90243660