Search a number
-
+
90724368 = 2437713803
BaseRepresentation
bin1010110100001…
…01100000010000
320022201021102210
411122011200100
5141211134433
613000312120
72151100350
oct532054020
9208637383
1090724368
1147236619
1226472640
1315a46877
14c098b60
157e71463
hex5685810

90724368 has 80 divisors (see below), whose sum is σ = 271696896. Its totient is φ = 25549440.

The previous prime is 90724363. The next prime is 90724369. The reversal of 90724368 is 86342709.

It is not an unprimeable number, because it can be changed into a prime (90724363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21955 + ... + 25757.

Almost surely, 290724368 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 90724368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135848448).

90724368 is an abundant number, since it is smaller than the sum of its proper divisors (180972528).

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

90724368 is a wasteful number, since it uses less digits than its factorization.

90724368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 90724368 is about 9524.9340155195. The cubic root of 90724368 is about 449.3395546241.

The spelling of 90724368 in words is "ninety million, seven hundred twenty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1491 1704 1988 2982 3408 3803 3976 5964 7606 7952 11409 11928 15212 22818 23856 26621 30424 45636 53242 60848 79863 91272 106484 159726 182544 212968 270013 319452 425936 540026 638904 810039 1080052 1277808 1620078 1890091 2160104 3240156 3780182 4320208 5670273 6480312 7560364 11340546 12960624 15120728 22681092 30241456 45362184 90724368