Search a number
-
+
1190816 = 251117199
BaseRepresentation
bin100100010101110100000
32020111111022
410202232200
5301101231
641305012
713056524
oct4425640
92214438
101190816
11743750
12495168
13329033
1422dd84
15187c7b
hex122ba0

1190816 has 48 divisors (see below), whose sum is σ = 2721600. Its totient is φ = 506880.

The previous prime is 1190809. The next prime is 1190821. The reversal of 1190816 is 6180911.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5885 + ... + 6083.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

21190816 is an apocalyptic number.

1190816 is a gapful number since it is divisible by the number (16) 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 1190816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360800).

1190816 is an abundant number, since it is smaller than the sum of its proper divisors (1530784).

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

1190816 is a wasteful number, since it uses less digits than its factorization.

1190816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The square root of 1190816 is about 1091.2451603558. The cubic root of 1190816 is about 105.9940663583.

The spelling of 1190816 in words is "one million, one hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 199 272 352 374 398 544 748 796 1496 1592 2189 2992 3184 3383 4378 5984 6368 6766 8756 13532 17512 27064 35024 37213 54128 70048 74426 108256 148852 297704 595408 1190816