Search a number
-
+
1146223760 = 245113142017
BaseRepresentation
bin100010001010001…
…1111110010010000
32221212211012101212
41010110133302100
54321413130020
6305423315252
740255512143
oct10424376220
92855735355
101146223760
11539016970
1227ba4bb28
13153616316
14ac33205a
156a966cc5
hex4451fc90

1146223760 has 80 divisors (see below), whose sum is σ = 3001093632. Its totient is φ = 403353600.

The previous prime is 1146223711. The next prime is 1146223763. The reversal of 1146223760 is 673226411.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1146223763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6272 + ... + 48288.

Almost surely, 21146223760 is an apocalyptic number.

1146223760 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 1146223760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500546816).

1146223760 is an abundant number, since it is smaller than the sum of its proper divisors (1854869872).

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

1146223760 is a wasteful number, since it uses less digits than its factorization.

1146223760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42072 (or 42066 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 1146223760 is about 33855.9265122076. The cubic root of 1146223760 is about 1046.5415341681.

The spelling of 1146223760 in words is "one billion, one hundred forty-six million, two hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2480 2728 3410 5456 6820 13640 27280 42017 84034 168068 210085 336136 420170 462187 672272 840340 924374 1302527 1680680 1848748 2310935 2605054 3361360 3697496 4621870 5210108 6512635 7394992 9243740 10420216 13025270 14327797 18487480 20840432 26050540 28655594 36974960 52101080 57311188 71638985 104202160 114622376 143277970 229244752 286555940 573111880 1146223760