Search a number
-
+
1156065666 = 23737838963
BaseRepresentation
bin100010011101000…
…0010100110000010
32222120100012221220
41010322002212002
54331423100131
6310414255510
740435252560
oct10472024602
92876305856
101156065666
11543629278
122831b7596
13155680c32
14ad774a30
156b75ce96
hex44e82982

1156065666 has 64 divisors (see below), whose sum is σ = 2746856448. Its totient is φ = 317469888.

The previous prime is 1156065661. The next prime is 1156065689. The reversal of 1156065666 is 6665606511.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1156065661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124501 + ... + 133463.

It is an arithmetic number, because the mean of its divisors is an integer number (42919632).

Almost surely, 21156065666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1156065666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373428224).

1156065666 is an abundant number, since it is smaller than the sum of its proper divisors (1590790782).

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

1156065666 is a wasteful number, since it uses less digits than its factorization.

1156065666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9095.

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 1156065666 is about 34000.9656627573. The cubic root of 1156065666 is about 1049.5283341886.

The spelling of 1156065666 in words is "one billion, one hundred fifty-six million, sixty-five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 37 42 74 83 111 166 222 249 259 498 518 581 777 1162 1554 1743 3071 3486 6142 8963 9213 17926 18426 21497 26889 42994 53778 62741 64491 125482 128982 188223 331631 376446 663262 743929 994893 1487858 1989786 2231787 2321417 4463574 4642834 5207503 6964251 10415006 13928502 15622509 27525373 31245018 55050746 82576119 165152238 192677611 385355222 578032833 1156065666