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20454100240 = 2457371975011
BaseRepresentation
bin10011000011001010…
…001100110100010000
31221210110222221200011
4103003022030310100
5313342222201430
613221350204304
71322604661210
oct230312146420
957713887604
1020454100240
118746896282
123b6a053694
131c0c7ab9c2
14dc0730240
157eaa6922a
hex4c328cd10

20454100240 has 160 divisors (see below), whose sum is σ = 56112908544. Its totient is φ = 6787307520.

The previous prime is 20454100237. The next prime is 20454100243. The reversal of 20454100240 is 4200145402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20454100237) and next prime (20454100243).

It is not an unprimeable number, because it can be changed into a prime (20454100243) by changing a digit.

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, 4079335 + ... + 4084345.

Almost surely, 220454100240 is an apocalyptic number.

20454100240 is a gapful number since it is divisible by the number (20) 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 20454100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28056454272).

20454100240 is an abundant number, since it is smaller than the sum of its proper divisors (35658808304).

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

20454100240 is a wasteful number, since it uses less digits than its factorization.

20454100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 20454100240 its reverse (4200145402), we get a palindrome (24654245642).

The spelling of 20454100240 in words is "twenty billion, four hundred fifty-four million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 197 259 280 296 370 394 518 560 592 740 788 985 1036 1295 1379 1480 1576 1970 2072 2590 2758 2960 3152 3940 4144 5011 5180 5516 6895 7289 7880 10022 10360 11032 13790 14578 15760 20044 20720 22064 25055 27580 29156 35077 36445 40088 50110 51023 55160 58312 70154 72890 80176 100220 102046 110320 116624 140308 145780 175385 185407 200440 204092 255115 280616 291560 350770 370814 400880 408184 510230 561232 583120 701540 741628 816368 927035 987167 1020460 1297849 1403080 1483256 1854070 1974334 2040920 2595698 2806160 2966512 3708140 3948668 4081840 4935835 5191396 6489245 6910169 7416280 7897336 9871670 10382792 12978490 13820338 14832560 15794672 19743340 20765584 25956980 27640676 34550845 36525179 39486680 51913960 55281352 69101690 73050358 78973360 103827920 110562704 138203380 146100716 182625895 255676253 276406760 292201432 365251790 511352506 552813520 584402864 730503580 1022705012 1278381265 1461007160 2045410024 2556762530 2922014320 4090820048 5113525060 10227050120 20454100240