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90244320 = 2535229821
BaseRepresentation
bin1010110000100…
…00010011100000
320021210212221020
411120100103200
5141100304240
612542125440
72144030655
oct530202340
9207725836
1090244320
1146a38991
1226280880
131590920a
14bdb1c2c
157dc90d0
hex56104e0

90244320 has 96 divisors (see below), whose sum is σ = 285858720. Its totient is φ = 23930880.

The previous prime is 90244303. The next prime is 90244333. The reversal of 90244320 is 2344209.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109510 + ... + 110330.

It is an arithmetic number, because the mean of its divisors is an integer number (2977695).

Almost surely, 290244320 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 90244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142929360).

90244320 is an abundant number, since it is smaller than the sum of its proper divisors (195614400).

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

90244320 is a wasteful number, since it uses less digits than its factorization.

90244320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 90244320 is about 9499.7010479278. The cubic root of 90244320 is about 448.5456255962.

Adding to 90244320 its reverse (2344209), we get a palindrome (92588529).

The spelling of 90244320 in words is "ninety million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 229 240 458 480 687 821 916 1145 1374 1642 1832 2290 2463 2748 3284 3435 3664 4105 4580 4926 5496 6568 6870 7328 8210 9160 9852 10992 12315 13136 13740 16420 18320 19704 21984 24630 26272 27480 32840 36640 39408 49260 54960 65680 78816 98520 109920 131360 188009 197040 376018 394080 564027 752036 940045 1128054 1504072 1880090 2256108 2820135 3008144 3760180 4512216 5640270 6016288 7520360 9024432 11280540 15040720 18048864 22561080 30081440 45122160 90244320