Search a number
-
+
1606068633 = 313232922129
BaseRepresentation
bin101111110111010…
…1010100110011001
311010221002201222110
41133232222212121
511242123144013
6423211342533
754541233561
oct13756524631
94127081873
101606068633
11754647154
12389a51a49
131c797c090
14113433da1
1595eec2c3
hex5fbaa999

1606068633 has 48 divisors (see below), whose sum is σ = 2493429120. Its totient is φ = 912350208.

The previous prime is 1606068623. The next prime is 1606068637. The reversal of 1606068633 is 3368606061.

It is not a de Polignac number, because 1606068633 - 214 = 1606052249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a cake number, because a cake can be divided into 1606068633 parts by 2128 planar cuts.

It is a junction number, because it is equal to n+sod(n) for n = 1606068591 and 1606068600.

It is not an unprimeable number, because it can be changed into a prime (1606068637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 753313 + ... + 755441.

It is an arithmetic number, because the mean of its divisors is an integer number (51946440).

Almost surely, 21606068633 is an apocalyptic number.

1606068633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1606068633 is a deficient number, since it is larger than the sum of its proper divisors (887360487).

1606068633 is a wasteful number, since it uses less digits than its factorization.

1606068633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 1606068633 is about 40075.7861183034. The cubic root of 1606068633 is about 1171.0839622002.

The spelling of 1606068633 in words is "one billion, six hundred six million, sixty-eight thousand, six hundred thirty-three".

Divisors: 1 3 13 23 29 39 69 87 299 377 667 841 897 1131 2001 2129 2523 6387 8671 10933 19343 26013 27677 32799 48967 58029 61741 83031 146901 185223 251459 636571 754377 802633 1420043 1790489 1909713 2407899 4260129 5371467 18460559 23276357 41181247 55381677 69829071 123543741 535356211 1606068633