Search a number
-
+
1190406966 = 23728343023
BaseRepresentation
bin100011011110100…
…0010101100110110
310001221221221100220
41012331002230312
54414221010331
6314042315210
741333202150
oct10675025466
93057857326
101190406966
11560a54411
122927b8b06
1315c815c28
14b4153ad0
156e793296
hex46f42b36

1190406966 has 16 divisors (see below), whose sum is σ = 2720930304. Its totient is φ = 340116264.

The previous prime is 1190406961. The next prime is 1190406979. The reversal of 1190406966 is 6696040911.

1190406966 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 28343023 = 1190406966 / (1 + 1 + 9 + 0 + 4 + 0 + 6 + 9 + 6 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1190406961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14171470 + ... + 14171553.

It is an arithmetic number, because the mean of its divisors is an integer number (170058144).

Almost surely, 21190406966 is an apocalyptic number.

1190406966 is an abundant number, since it is smaller than the sum of its proper divisors (1530523338).

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

1190406966 is a wasteful number, since it uses less digits than its factorization.

1190406966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28343035.

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 1190406966 is about 34502.2747945697. The cubic root of 1190406966 is about 1059.8192898301.

It can be divided in two parts, 1190 and 406966, that added together give a triangular number (408156 = T903).

The spelling of 1190406966 in words is "one billion, one hundred ninety million, four hundred six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 28343023 56686046 85029069 170058138 198401161 396802322 595203483 1190406966