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90064350 = 23252263761
BaseRepresentation
bin1010101111001…
…00010111011110
320021110202001200
411113210113132
5141024024400
612534220330
72142351165
oct527442736
9207422050
1090064350
1146925752
12261b46a6
131587531c
14bd663dc
157d90b00
hex55e45de

90064350 has 72 divisors (see below), whose sum is σ = 243212112. Its totient is φ = 23894400.

The previous prime is 90064339. The next prime is 90064357. The reversal of 90064350 is 5346009.

It is a happy number.

It is a super-2 number, since 2×900643502 = 16223174281845000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90064357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117970 + ... + 118730.

It is an arithmetic number, because the mean of its divisors is an integer number (3377946).

Almost surely, 290064350 is an apocalyptic number.

90064350 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 90064350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121606056).

90064350 is an abundant number, since it is smaller than the sum of its proper divisors (153147762).

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

90064350 is a wasteful number, since it uses less digits than its factorization.

90064350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 90064350 is about 9490.2239172740. The cubic root of 90064350 is about 448.2472560233.

The spelling of 90064350 in words is "ninety million, sixty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 263 450 526 761 789 1315 1522 1578 2283 2367 2630 3805 3945 4566 4734 6575 6849 7610 7890 11415 11835 13150 13698 19025 19725 22830 23670 34245 38050 39450 57075 59175 68490 114150 118350 171225 200143 342450 400286 600429 1000715 1200858 1801287 2001430 3002145 3602574 5003575 6004290 9006435 10007150 15010725 18012870 30021450 45032175 90064350