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1093928420 = 2251319229967
BaseRepresentation
bin100000100110100…
…0000010111100100
32211020102022200102
41001031000113210
54220021202140
6300314403232
736052144454
oct10115002744
92736368612
101093928420
11511548682
12266430518
13145836230
14a53dbd64
1566086e15
hex413405e4

1093928420 has 96 divisors (see below), whose sum is σ = 2618246400. Its totient is φ = 380588544.

The previous prime is 1093928411. The next prime is 1093928447. The reversal of 1093928420 is 248293901.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1130777 + ... + 1131743.

It is an arithmetic number, because the mean of its divisors is an integer number (27273400).

Almost surely, 21093928420 is an apocalyptic number.

1093928420 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 1093928420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309123200).

1093928420 is an abundant number, since it is smaller than the sum of its proper divisors (1524317980).

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

1093928420 is a wasteful number, since it uses less digits than its factorization.

1093928420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 1093928420 is about 33074.5887351604. The cubic root of 1093928420 is about 1030.3773462659.

The spelling of 1093928420 in words is "one billion, ninety-three million, nine hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 229 247 260 380 458 494 916 967 988 1145 1235 1934 2290 2470 2977 3868 4351 4580 4835 4940 5954 8702 9670 11908 12571 14885 17404 18373 19340 21755 25142 29770 36746 43510 50284 56563 59540 62855 73492 87020 91865 113126 125710 183730 221443 226252 238849 251420 282815 367460 442886 477698 565630 885772 955396 1107215 1131260 1194245 2214430 2388490 2878759 4207417 4428860 4776980 5757518 8414834 11515036 14393795 16829668 21037085 28787590 42074170 54696421 57575180 84148340 109392842 218785684 273482105 546964210 1093928420