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90699312 = 24311199041
BaseRepresentation
bin1010110011111…
…11011000110000
320022200000001210
411121333120300
5141204334222
613000000120
72150634324
oct531773060
9208600053
1090699312
1147219810
1226460040
1315a38342
14c08d984
157e68d0c
hex567f630

90699312 has 80 divisors (see below), whose sum is σ = 269089920. Its totient is φ = 26035200.

The previous prime is 90699311. The next prime is 90699319. The reversal of 90699312 is 21399609.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (90699311) 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, 5512 + ... + 14552.

It is an arithmetic number, because the mean of its divisors is an integer number (3363624).

Almost surely, 290699312 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 90699312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134544960).

90699312 is an abundant number, since it is smaller than the sum of its proper divisors (178390608).

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

90699312 is a wasteful number, since it uses less digits than its factorization.

90699312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9082 (or 9076 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 90699312 is about 9523.6186399918. The cubic root of 90699312 is about 449.2981850386.

It can be divided in two parts, 9069 and 9312, that added together give a palindrome (18381).

The spelling of 90699312 in words is "ninety million, six hundred ninety-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 9041 10032 18082 27123 36164 54246 72328 99451 108492 144656 171779 198902 216984 298353 343558 397804 433968 515337 596706 687116 795608 1030674 1193412 1374232 1591216 1889569 2061348 2386824 2748464 3779138 4122696 4773648 5668707 7558276 8245392 11337414 15116552 22674828 30233104 45349656 90699312