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20041130400 = 2535243194197
BaseRepresentation
bin10010101010100010…
…110110000110100000
31220201200220220112220
4102222202312012200
5312021012133100
613112354551040
71306431540414
oct225242660640
956650826486
1020041130400
118554771995
123a73898480
131b75078b55
14d81950d44
157c4692aa0
hex4aa8b61a0

20041130400 has 144 divisors (see below), whose sum is σ = 66751290144. Its totient is φ = 5219988480.

The previous prime is 20041130377. The next prime is 20041130407. The reversal of 20041130400 is 403114002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20041130400.

It is not an unprimeable number, because it can be changed into a prime (20041130407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6102 + ... + 200298.

It is an arithmetic number, because the mean of its divisors is an integer number (463550626).

Almost surely, 220041130400 is an apocalyptic number.

20041130400 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 20041130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33375645072).

20041130400 is an abundant number, since it is smaller than the sum of its proper divisors (46710159744).

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

20041130400 is a wasteful number, since it uses less digits than its factorization.

20041130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194263 (or 194250 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20041130400 its reverse (403114002), we get a palindrome (20444244402).

The spelling of 20041130400 in words is "twenty billion, forty-one million, one hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 43 48 50 60 75 80 86 96 100 120 129 150 160 172 200 215 240 258 300 344 400 430 480 516 600 645 688 800 860 1032 1075 1200 1290 1376 1720 2064 2150 2400 2580 3225 3440 4128 4300 5160 6450 6880 8600 10320 12900 17200 20640 25800 34400 51600 103200 194197 388394 582591 776788 970985 1165182 1553576 1941970 2330364 2912955 3107152 3883940 4660728 4854925 5825910 6214304 7767880 8350471 9321456 9709850 11651820 14564775 15535760 16700942 18642912 19419700 23303640 25051413 29129550 31071520 33401884 38839400 41752355 46607280 50102826 58259100 66803768 77678800 83504710 93214560 100205652 116518200 125257065 133607536 155357600 167009420 200411304 208761775 233036400 250514130 267215072 334018840 400822608 417523550 466072800 501028260 626285325 668037680 801645216 835047100 1002056520 1252570650 1336075360 1670094200 2004113040 2505141300 3340188400 4008226080 5010282600 6680376800 10020565200 20041130400