Search a number
-
+
1667094740 = 2252333110949
BaseRepresentation
bin110001101011101…
…1101100011010100
311022011221012001122
41203113131203110
511403234012430
6433231343112
756212033343
oct14327354324
94264835048
101667094740
11786038a53
123a6381a98
132074c80bc
1411b59bb5a
159b553ee5
hex635dd8d4

1667094740 has 48 divisors (see below), whose sum is σ = 3664483200. Its totient is φ = 635859840.

The previous prime is 1667094739. The next prime is 1667094743. The reversal of 1667094740 is 474907661.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1667094691 and 1667094700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1667094743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146786 + ... + 157734.

It is an arithmetic number, because the mean of its divisors is an integer number (76343400).

Almost surely, 21667094740 is an apocalyptic number.

1667094740 is a gapful number since it is divisible by the number (10) 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 1667094740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832241600).

1667094740 is an abundant number, since it is smaller than the sum of its proper divisors (1997388460).

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

1667094740 is a wasteful number, since it uses less digits than its factorization.

1667094740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11312 (or 11310 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 1667094740 is about 40830.0715159795. The cubic root of 1667094740 is about 1185.7326002189.

The spelling of 1667094740 in words is "one billion, six hundred sixty-seven million, ninety-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 331 460 662 1324 1655 3310 6620 7613 10949 15226 21898 30452 38065 43796 54745 76130 109490 152260 218980 251827 503654 1007308 1259135 2518270 3624119 5036540 7248238 14496476 18120595 36241190 72482380 83354737 166709474 333418948 416773685 833547370 1667094740