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1120930400 = 25523793697
BaseRepresentation
bin100001011010000…
…0000101001100000
32220010020011102202
41002310000221200
54243424233100
6303121232332
736530515442
oct10264005140
92803204382
101120930400
11525810667
122734926a8
1314b2cb735
14a8c2a492
156861c7d5
hex42d00a60

1120930400 has 72 divisors (see below), whose sum is σ = 2744433720. Its totient is φ = 447068160.

The previous prime is 1120930381. The next prime is 1120930453. The reversal of 1120930400 is 40390211.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301352 + ... + 305048.

It is an arithmetic number, because the mean of its divisors is an integer number (38117135).

Almost surely, 21120930400 is an apocalyptic number.

1120930400 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 1120930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372216860).

1120930400 is an abundant number, since it is smaller than the sum of its proper divisors (1623503320).

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

1120930400 is a wasteful number, since it uses less digits than its factorization.

1120930400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1120930400 is about 33480.2986844502. The cubic root of 1120930400 is about 1038.7863060474.

The spelling of 1120930400 in words is "one billion, one hundred twenty million, nine hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 379 400 758 800 1516 1895 3032 3697 3790 6064 7394 7580 9475 12128 14788 15160 18485 18950 29576 30320 36970 37900 59152 60640 73940 75800 92425 118304 147880 151600 184850 295760 303200 369700 591520 739400 1401163 1478800 2802326 2957600 5604652 7005815 11209304 14011630 22418608 28023260 35029075 44837216 56046520 70058150 112093040 140116300 224186080 280232600 560465200 1120930400