Search a number
-
+
90111420 = 22335731769
BaseRepresentation
bin1010101111011…
…11110110111100
320021120010122000
411113233312330
5141032031140
612535222300
72142635340
oct527576674
9207503560
1090111420
1146958053
1226217990
1315890889
14bd79620
157d9ea30
hex55efdbc

90111420 has 192 divisors, whose sum is σ = 331161600. Its totient is φ = 19906560.

The previous prime is 90111403. The next prime is 90111421. The reversal of 90111420 is 2411109.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 90111393 and 90111402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90111421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116796 + ... + 117564.

It is an arithmetic number, because the mean of its divisors is an integer number (1724800).

Almost surely, 290111420 is an apocalyptic number.

90111420 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165580800).

90111420 is an abundant number, since it is smaller than the sum of its proper divisors (241050180).

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

90111420 is a wasteful number, since it uses less digits than its factorization.

90111420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 90111420 is about 9492.7035137520. The cubic root of 90111420 is about 448.3253310285.

Adding to 90111420 its reverse (2411109), we get a palindrome (92522529).

It can be divided in two parts, 901 and 11420, that added together give a palindrome (12321).

The spelling of 90111420 in words is "ninety million, one hundred eleven thousand, four hundred twenty".