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90468700 = 22527237499
BaseRepresentation
bin1010110010001…
…11000101011100
320022020021201121
411121013011130
5141124444300
612551020324
72145654100
oct531070534
9208207647
1090468700
1147081523
122636a6a4
131598739a
14c02d900
157e2081a
hex564715c

90468700 has 108 divisors (see below), whose sum is σ = 235011000. Its totient is φ = 30119040.

The previous prime is 90468691. The next prime is 90468701. The reversal of 90468700 is 786409.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90468701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181051 + ... + 181549.

Almost surely, 290468700 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 90468700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117505500).

90468700 is an abundant number, since it is smaller than the sum of its proper divisors (144542300).

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

90468700 is a wasteful number, since it uses less digits than its factorization.

90468700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 90468700 is about 9511.5035614775. The cubic root of 90468700 is about 448.9170667738.

The spelling of 90468700 in words is "ninety million, four hundred sixty-eight thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 49 50 70 74 98 100 140 148 175 185 196 245 259 350 370 490 499 518 700 740 925 980 998 1036 1225 1295 1813 1850 1996 2450 2495 2590 3493 3626 3700 4900 4990 5180 6475 6986 7252 9065 9980 12475 12950 13972 17465 18130 18463 24451 24950 25900 34930 36260 36926 45325 48902 49900 69860 73852 87325 90650 92315 97804 122255 129241 174650 181300 184630 244510 258482 349300 369260 461575 489020 516964 611275 646205 904687 923150 1222550 1292410 1809374 1846300 2445100 2584820 3231025 3618748 4523435 6462050 9046870 12924100 18093740 22617175 45234350 90468700