Search a number
-
+
90230280 = 23357163659
BaseRepresentation
bin1010110000011…
…00111000001000
320021210011200020
411120030320020
5141044332110
612541540440
72143642020
oct530147010
9207704606
1090230280
1146a29388
1226274720
13159029ca
14bdaaa80
157dc4d70
hex560ce08

90230280 has 128 divisors (see below), whose sum is σ = 311731200. Its totient is φ = 20466432.

The previous prime is 90230251. The next prime is 90230291. The reversal of 90230280 is 8203209.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 90230280.

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, 136591 + ... + 137249.

It is an arithmetic number, because the mean of its divisors is an integer number (2435400).

Almost surely, 290230280 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 90230280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155865600).

90230280 is an abundant number, since it is smaller than the sum of its proper divisors (221500920).

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

90230280 is a wasteful number, since it uses less digits than its factorization.

90230280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 90230280 is about 9498.9620485609. The cubic root of 90230280 is about 448.5223631637.

Adding to 90230280 its reverse (8203209), we get a palindrome (98433489).

The spelling of 90230280 in words is "ninety million, two hundred thirty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 163 168 210 280 326 420 489 652 659 815 840 978 1141 1304 1318 1630 1956 1977 2282 2445 2636 3260 3295 3423 3912 3954 4564 4613 4890 5272 5705 6520 6590 6846 7908 9128 9226 9780 9885 11410 13180 13692 13839 15816 17115 18452 19560 19770 22820 23065 26360 27384 27678 34230 36904 39540 45640 46130 55356 68460 69195 79080 92260 107417 110712 136920 138390 184520 214834 276780 322251 429668 537085 553560 644502 751919 859336 1074170 1289004 1503838 1611255 2148340 2255757 2578008 3007676 3222510 3759595 4296680 4511514 6015352 6445020 7519190 9023028 11278785 12890040 15038380 18046056 22557570 30076760 45115140 90230280