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2103213440 = 2756195309
BaseRepresentation
bin111110101011100…
…0111110110000000
312102120120022110002
41331113013312000
513301410312230
6544411055132
7103056006416
oct17527076600
95376508402
102103213440
1198a233429
124a84414a8
132769746c3
1415d4852b6
15c499e545
hex7d5c7d80

2103213440 has 64 divisors (see below), whose sum is σ = 5037066000. Its totient is φ = 839768064.

The previous prime is 2103213407. The next prime is 2103213457. The reversal of 2103213440 is 443123012.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393506 + ... + 398814.

Almost surely, 22103213440 is an apocalyptic number.

2103213440 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 2103213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518533000).

2103213440 is an abundant number, since it is smaller than the sum of its proper divisors (2933852560).

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

2103213440 is an equidigital number, since it uses as much as digits as its factorization.

2103213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5947 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2103213440 is about 45860.8050518087. The cubic root of 2103213440 is about 1281.2320169120.

Adding to 2103213440 its reverse (443123012), we get a palindrome (2546336452).

The spelling of 2103213440 in words is "two billion, one hundred three million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 619 640 1238 2476 3095 4952 5309 6190 9904 10618 12380 19808 21236 24760 26545 39616 42472 49520 53090 79232 84944 99040 106180 169888 198080 212360 339776 396160 424720 679552 849440 1698880 3286271 3397760 6572542 13145084 16431355 26290168 32862710 52580336 65725420 105160672 131450840 210321344 262901680 420642688 525803360 1051606720 2103213440