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1244928880 = 245132414967
BaseRepresentation
bin100101000110100…
…0001101101110000
310012202112221101001
41022031001231300
510022200211010
6323311051344
742564502156
oct11215015560
93182487331
101244928880
11589803548
122a8b10b54
1316abc5610
14bb4a73d6
1574462c3a
hex4a341b70

1244928880 has 80 divisors (see below), whose sum is σ = 3130674624. Its totient is φ = 457666560.

The previous prime is 1244928857. The next prime is 1244928953. The reversal of 1244928880 is 888294421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1244928880.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 248157 + ... + 253123.

Almost surely, 21244928880 is an apocalyptic number.

1244928880 is a gapful number since it is divisible by the number (10) 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 1244928880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565337312).

1244928880 is an abundant number, since it is smaller than the sum of its proper divisors (1885745744).

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

1244928880 is a wasteful number, since it uses less digits than its factorization.

1244928880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The square root of 1244928880 is about 35283.5497080438. The cubic root of 1244928880 is about 1075.7586510647.

The spelling of 1244928880 in words is "one billion, two hundred forty-four million, nine hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 241 260 482 520 964 1040 1205 1928 2410 3133 3856 4820 4967 6266 9640 9934 12532 15665 19280 19868 24835 25064 31330 39736 49670 50128 62660 64571 79472 99340 125320 129142 198680 250640 258284 322855 397360 516568 645710 1033136 1197047 1291420 2394094 2582840 4788188 5165680 5985235 9576376 11970470 15561611 19152752 23940940 31123222 47881880 62246444 77808055 95763760 124492888 155616110 248985776 311232220 622464440 1244928880