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1093920 = 25354353
BaseRepresentation
bin100001011000100100000
32001120120120
410023010200
5240001140
635240240
712204162
oct4130440
92046516
101093920
11687973
12449080
132c3bb9
14206932
151691d0
hex10b120

1093920 has 96 divisors (see below), whose sum is σ = 3592512. Its totient is φ = 279552.

The previous prime is 1093907. The next prime is 1093927. The reversal of 1093920 is 293901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1093927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20614 + ... + 20666.

It is an arithmetic number, because the mean of its divisors is an integer number (37422).

21093920 is an apocalyptic number.

1093920 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 1093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796256).

1093920 is an abundant number, since it is smaller than the sum of its proper divisors (2498592).

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

1093920 is a wasteful number, since it uses less digits than its factorization.

1093920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 1093920 is about 1045.9063055551. The cubic root of 1093920 is about 103.0374702644.

The spelling of 1093920 in words is "one million, ninety-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 53 60 80 86 96 106 120 129 159 160 172 212 215 240 258 265 318 344 424 430 480 516 530 636 645 688 795 848 860 1032 1060 1272 1290 1376 1590 1696 1720 2064 2120 2279 2544 2580 3180 3440 4128 4240 4558 5088 5160 6360 6837 6880 8480 9116 10320 11395 12720 13674 18232 20640 22790 25440 27348 34185 36464 45580 54696 68370 72928 91160 109392 136740 182320 218784 273480 364640 546960 1093920