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90900909 = 32111019091
BaseRepresentation
bin1010110101100…
…00100110101101
320100001020121100
411122300212231
5141232312114
613004153313
72152434141
oct532604655
9210036540
1090900909
1147347220
1226538839
1315aa9028
14c103221
157ea8909
hex56b09ad

90900909 has 24 divisors (see below), whose sum is σ = 144671904. Its totient is φ = 54540000.

The previous prime is 90900907. The next prime is 90900913.

90900909 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90900909 - 21 = 90900907 is a prime.

It is a super-3 number, since 3×909009093 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90900907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5454 + ... + 14544.

It is an arithmetic number, because the mean of its divisors is an integer number (6027996).

Almost surely, 290900909 is an apocalyptic number.

90900909 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90900909 is a deficient number, since it is larger than the sum of its proper divisors (53770995).

90900909 is a wasteful number, since it uses less digits than its factorization.

90900909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9209 (or 9206 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 36.

The square root of 90900909 is about 9534.1968198690. The cubic root of 90900909 is about 449.6308231386.

It can be divided in two parts, 90900 and 909, that multiplied together give a square (82628100 = 90902).

The spelling of 90900909 in words is "ninety million, nine hundred thousand, nine hundred nine".

Divisors: 1 3 9 11 33 99 101 303 909 1111 3333 9091 9999 27273 81819 100001 300003 900009 918191 2754573 8263719 10100101 30300303 90900909