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40689090 = 23251383419
BaseRepresentation
bin1001101100110…
…1110111000010
32211120012221100
42123031313002
540404022330
64012035230
71002565041
oct233156702
984505840
1040689090
1120a71352
1211762b16
1385783b0
145592558
15388b060
hex26cddc2

40689090 has 96 divisors (see below), whose sum is σ = 115577280. Its totient is φ = 9871488.

The previous prime is 40689067. The next prime is 40689091. The reversal of 40689090 is 9098604.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40689091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96901 + ... + 97319.

It is an arithmetic number, because the mean of its divisors is an integer number (1203930).

Almost surely, 240689090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40689090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57788640).

40689090 is an abundant number, since it is smaller than the sum of its proper divisors (74888190).

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

40689090 is a wasteful number, since it uses less digits than its factorization.

40689090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 40689090 is about 6378.8000438954. The cubic root of 40689090 is about 343.9478975082.

The spelling of 40689090 in words is "forty million, six hundred eighty-nine thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 83 90 117 130 166 195 234 249 390 415 419 498 585 747 830 838 1079 1170 1245 1257 1494 2095 2158 2490 2514 3237 3735 3771 4190 5395 5447 6285 6474 7470 7542 9711 10790 10894 12570 16185 16341 18855 19422 27235 32370 32682 34777 37710 48555 49023 54470 69554 81705 97110 98046 104331 163410 173885 208662 245115 312993 347770 452101 490230 521655 625986 904202 1043310 1356303 1564965 2260505 2712606 3129930 4068909 4521010 6781515 8137818 13563030 20344545 40689090