Search a number
-
+
1190380872 = 2333711311863
BaseRepresentation
bin100011011110011…
…1100010101001000
310001221220121120110
41012330330111020
54414214141442
6314041554320
741333033112
oct10674742510
93057817513
101190380872
11560a3684a
122927a59a0
1315c8070a5
14b41483b2
156e78a69c
hex46f3c548

1190380872 has 64 divisors (see below), whose sum is σ = 3083690880. Its totient is φ = 382620672.

The previous prime is 1190380859. The next prime is 1190380879. The reversal of 1190380872 is 2780830911.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1190380872.

It is not an unprimeable number, because it can be changed into a prime (1190380879) 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, 94413 + ... + 106275.

It is an arithmetic number, because the mean of its divisors is an integer number (48182670).

Almost surely, 21190380872 is an apocalyptic number.

1190380872 is a gapful number since it is divisible by the number (12) 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 1190380872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541845440).

1190380872 is an abundant number, since it is smaller than the sum of its proper divisors (1893310008).

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

1190380872 is a wasteful number, since it uses less digits than its factorization.

1190380872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12022 (or 12018 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1190380872 is about 34501.8966435180. The cubic root of 1190380872 is about 1059.8115459443.

The spelling of 1190380872 in words is "one billion, one hundred ninety million, three hundred eighty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 113 148 222 226 296 339 444 452 678 888 904 1356 2712 4181 8362 11863 12543 16724 23726 25086 33448 35589 47452 50172 71178 94904 100344 142356 284712 438931 877862 1316793 1340519 1755724 2633586 2681038 3511448 4021557 5267172 5362076 8043114 10534344 10724152 16086228 32172456 49599203 99198406 148797609 198396812 297595218 396793624 595190436 1190380872