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40635420 = 22357313121
BaseRepresentation
bin1001101100000…
…0110000011100
32211110111022120
42123000300130
540400313140
64010542540
71002252420
oct233006034
984414276
1040635420
1120a34aa1
1211737a50
138559b37
14557ab80
15387a1d0
hex26c0c1c

40635420 has 96 divisors (see below), whose sum is σ = 134270976. Its totient is φ = 8985600.

The previous prime is 40635407. The next prime is 40635421. The reversal of 40635420 is 2453604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40635421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11460 + ... + 14580.

It is an arithmetic number, because the mean of its divisors is an integer number (1398656).

Almost surely, 240635420 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 40635420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67135488).

40635420 is an abundant number, since it is smaller than the sum of its proper divisors (93635556).

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

40635420 is a wasteful number, since it uses less digits than its factorization.

40635420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 40635420 is about 6374.5917516340. The cubic root of 40635420 is about 343.7966054716.

The spelling of 40635420 in words is "forty million, six hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2604 3121 3255 4340 6242 6510 9363 12484 13020 15605 18726 21847 31210 37452 43694 46815 62420 65541 87388 93630 96751 109235 131082 187260 193502 218470 262164 290253 327705 387004 436940 483755 580506 655410 677257 967510 1161012 1310820 1354514 1451265 1935020 2031771 2709028 2902530 3386285 4063542 5805060 6772570 8127084 10158855 13545140 20317710 40635420