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1133808 = 243132379
BaseRepresentation
bin100010100110011110000
32010121021220
410110303300
5242240213
640145040
712431364
oct4246360
92117256
101133808
11704935
12468180
133090c0
142172a4
15175e23
hex114cf0

1133808 has 80 divisors (see below), whose sum is σ = 3333120. Its totient is φ = 329472.

The previous prime is 1133789. The next prime is 1133809. The reversal of 1133808 is 8083311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133809) 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, 14313 + ... + 14391.

It is an arithmetic number, because the mean of its divisors is an integer number (41664).

21133808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666560).

1133808 is an abundant number, since it is smaller than the sum of its proper divisors (2199312).

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

1133808 is a wasteful number, since it uses less digits than its factorization.

1133808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1133808 is about 1064.8042073546. The cubic root of 1133808 is about 104.2749136783.

The spelling of 1133808 in words is "one million, one hundred thirty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 79 92 104 138 156 158 184 208 237 276 299 312 316 368 474 552 598 624 632 897 948 1027 1104 1196 1264 1794 1817 1896 2054 2392 3081 3588 3634 3792 4108 4784 5451 6162 7176 7268 8216 10902 12324 14352 14536 16432 21804 23621 24648 29072 43608 47242 49296 70863 87216 94484 141726 188968 283452 377936 566904 1133808