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2421020400 = 243524346919
BaseRepresentation
bin1001000001001101…
…1101011011110000
320020201120120122020
42100103131123300
514424240123100
61040122511440
7113665222341
oct22023353360
96221516566
102421020400
11103266a507
12576965580
132c7768666
1418d7720c8
15e28295a0
hex904dd6f0

2421020400 has 120 divisors (see below), whose sum is σ = 7935861120. Its totient is φ = 630577920.

The previous prime is 2421020389. The next prime is 2421020401. The reversal of 2421020400 is 40201242.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×24210204002 = 11722679554432320000, which contains 22 as substring.

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 2421020400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421020401) 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, 28141 + ... + 75059.

It is an arithmetic number, because the mean of its divisors is an integer number (66132176).

Almost surely, 22421020400 is an apocalyptic number.

2421020400 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 2421020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967930560).

2421020400 is an abundant number, since it is smaller than the sum of its proper divisors (5514840720).

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

2421020400 is a wasteful number, since it uses less digits than its factorization.

2421020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46983 (or 46972 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2421020400 is about 49203.8657017922. The cubic root of 2421020400 is about 1342.7633625686.

Adding to 2421020400 its reverse (40201242), we get a palindrome (2461221642).

The spelling of 2421020400 in words is "two billion, four hundred twenty-one million, twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 129 150 172 200 215 240 258 300 344 400 430 516 600 645 688 860 1032 1075 1200 1290 1720 2064 2150 2580 3225 3440 4300 5160 6450 8600 10320 12900 17200 25800 46919 51600 93838 140757 187676 234595 281514 375352 469190 563028 703785 750704 938380 1126056 1172975 1407570 1876760 2017517 2252112 2345950 2815140 3518925 3753520 4035034 4691900 5630280 6052551 7037850 8070068 9383800 10087585 11260560 12105102 14075700 16140136 18767600 20175170 24210204 28151400 30262755 32280272 40350340 48420408 50437925 56302800 60525510 80700680 96840816 100875850 121051020 151313775 161401360 201751700 242102040 302627550 403503400 484204080 605255100 807006800 1210510200 2421020400