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20406354240 = 263571299389
BaseRepresentation
bin10011000000010100…
…000100000101000000
31221200011011012110210
4103000110010011000
5313243011313430
613212522554120
71321455102066
oct230024040500
957604135423
1020406354240
118721944a78
123b56068940
131c0293252c
14db8262036
157e67872b0
hex4c0504140

20406354240 has 112 divisors (see below), whose sum is σ = 65702931840. Its totient is φ = 5365032960.

The previous prime is 20406354173. The next prime is 20406354247. The reversal of 20406354240 is 4245360402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20406354198 and 20406354207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20406354247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81535 + ... + 217854.

It is an arithmetic number, because the mean of its divisors is an integer number (586633320).

Almost surely, 220406354240 is an apocalyptic number.

20406354240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20406354240 is an abundant number, since it is smaller than the sum of its proper divisors (45296577600).

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

20406354240 is a wasteful number, since it uses less digits than its factorization.

20406354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299480 (or 299470 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 20406354240 in words is "twenty billion, four hundred six million, three hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 142 160 192 213 240 284 320 355 426 480 568 710 852 960 1065 1136 1420 1704 2130 2272 2840 3408 4260 4544 5680 6816 8520 11360 13632 17040 22720 34080 68160 299389 598778 898167 1197556 1496945 1796334 2395112 2993890 3592668 4490835 4790224 5987780 7185336 8981670 9580448 11975560 14370672 17963340 19160896 21256619 23951120 28741344 35926680 42513238 47902240 57482688 63769857 71853360 85026476 95804480 106283095 127539714 143706720 170052952 212566190 255079428 287413440 318849285 340105904 425132380 510158856 637698570 680211808 850264760 1020317712 1275397140 1360423616 1700529520 2040635424 2550794280 3401059040 4081270848 5101588560 6802118080 10203177120 20406354240