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40690080 = 253359419
BaseRepresentation
bin1001101100111…
…0000110100000
32211120021022000
42123032012200
540404040310
64012044000
71002600654
oct233160640
984507260
1040690080
1120a72072
1211763600
138578992
145592a64
15388b4c0
hex26ce1a0

40690080 has 96 divisors (see below), whose sum is σ = 142430400. Its totient is φ = 10849536.

The previous prime is 40690063. The next prime is 40690093. The reversal of 40690080 is 8009604.

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

It is a super-2 number, since 2×406900802 = 3311365220812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390 + ... + 9029.

It is an arithmetic number, because the mean of its divisors is an integer number (1483650).

Almost surely, 240690080 is an apocalyptic number.

40690080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40690080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71215200).

40690080 is an abundant number, since it is smaller than the sum of its proper divisors (101740320).

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

40690080 is a wasteful number, since it uses less digits than its factorization.

40690080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9443 (or 9429 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40690080 is about 6378.8776442255. The cubic root of 40690080 is about 343.9506870001.

Adding to 40690080 its reverse (8009604), we get a palindrome (48699684).

The spelling of 40690080 in words is "forty million, six hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 9419 18838 28257 37676 47095 56514 75352 84771 94190 113028 141285 150704 169542 188380 226056 254313 282570 301408 339084 376760 423855 452112 508626 565140 678168 753520 847710 904224 1017252 1130280 1271565 1356336 1507040 1695420 2034504 2260560 2543130 2712672 3390840 4069008 4521120 5086260 6781680 8138016 10172520 13563360 20345040 40690080