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90036090 = 2335312347
BaseRepresentation
bin1010101110111…
…01011101111010
320021102022022000
411113131131322
5141022123330
612533441430
72142202614
oct527353572
9207368260
1090036090
11469064a1
12261a0276
13158654c1
14bd59db4
157d87560
hex55dd77a

90036090 has 96 divisors (see below), whose sum is σ = 248806080. Its totient is φ = 23168160.

The previous prime is 90036077. The next prime is 90036091. The reversal of 90036090 is 9063009.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (90036091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259297 + ... + 259643.

It is an arithmetic number, because the mean of its divisors is an integer number (2591730).

Almost surely, 290036090 is an apocalyptic number.

90036090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90036090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124403040).

90036090 is an abundant number, since it is smaller than the sum of its proper divisors (158769990).

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

90036090 is a wasteful number, since it uses less digits than its factorization.

90036090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 90036090 is about 9488.7348998694. The cubic root of 90036090 is about 448.2003680941.

Adding to 90036090 its reverse (9063009), we get a palindrome (99099099).

The spelling of 90036090 in words is "ninety million, thirty-six thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 347 465 558 694 837 930 961 1041 1395 1674 1735 1922 2082 2790 2883 3123 3470 4185 4805 5205 5766 6246 8370 8649 9369 9610 10410 10757 14415 15615 17298 18738 21514 25947 28830 31230 32271 43245 46845 51894 53785 64542 86490 93690 96813 107570 129735 161355 193626 259470 290439 322710 333467 484065 580878 666934 968130 1000401 1452195 1667335 2000802 2904390 3001203 3334670 5002005 6002406 9003609 10004010 15006015 18007218 30012030 45018045 90036090