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40685220 = 22335591277
BaseRepresentation
bin1001101100110…
…0111010100100
32211120000122000
42123030322210
540403411340
64012005300
71002550542
oct233147244
984500560
1040685220
1120a69454
1211760830
1385766c4
145590d92
153889d30
hex26ccea4

40685220 has 96 divisors (see below), whose sum is σ = 128822400. Its totient is φ = 10657152.

The previous prime is 40685191. The next prime is 40685257. The reversal of 40685220 is 2258604.

40685220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31222 + ... + 32498.

It is an arithmetic number, because the mean of its divisors is an integer number (1341900).

Almost surely, 240685220 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 40685220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64411200).

40685220 is an abundant number, since it is smaller than the sum of its proper divisors (88137180).

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

40685220 is a wasteful number, since it uses less digits than its factorization.

40685220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 40685220 is about 6378.4966880920. The cubic root of 40685220 is about 343.9369926968.

The spelling of 40685220 in words is "forty million, six hundred eighty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 90 108 118 135 177 180 236 270 295 354 531 540 590 708 885 1062 1180 1277 1593 1770 2124 2554 2655 3186 3540 3831 5108 5310 6372 6385 7662 7965 10620 11493 12770 15324 15930 19155 22986 25540 31860 34479 38310 45972 57465 68958 75343 76620 114930 137916 150686 172395 226029 229860 301372 344790 376715 452058 678087 689580 753430 904116 1130145 1356174 1506860 2034261 2260290 2712348 3390435 4068522 4520580 6780870 8137044 10171305 13561740 20342610 40685220