Search a number
-
+
1066654992 = 243132235717
BaseRepresentation
bin111111100100111…
…101110100010000
32202100002200120110
4333210331310100
54141030424432
6253502041320
735301263214
oct7744756420
92670080513
101066654992
114a810a757
12259279240
1313cca7300
14a193c944
156399adcc
hex3f93dd10

1066654992 has 120 divisors (see below), whose sum is σ = 3114068544. Its totient is φ = 313876992.

The previous prime is 1066654991. The next prime is 1066654993. The reversal of 1066654992 is 2994566601.

It is an interprime number because it is at equal distance from previous prime (1066654991) and next prime (1066654993).

It is a super-2 number, since 2×10666549922 = 2275505743917040128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1066654991) 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 23 ways as a sum of consecutive naturals, for example, 183718 + ... + 189434.

Almost surely, 21066654992 is an apocalyptic number.

1066654992 is a gapful number since it is divisible by the number (12) 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 1066654992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557034272).

1066654992 is an abundant number, since it is smaller than the sum of its proper divisors (2047413552).

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

1066654992 is a wasteful number, since it uses less digits than its factorization.

1066654992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5777 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 1066654992 is about 32659.6845055184. The cubic root of 1066654992 is about 1021.7421821748.

The spelling of 1066654992 in words is "one billion, sixty-six million, six hundred fifty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 169 184 208 276 299 312 338 368 507 552 598 624 676 897 1014 1104 1196 1352 1794 2028 2392 2704 3588 3887 4056 4784 5717 7176 7774 8112 11434 11661 14352 15548 17151 22868 23322 31096 34302 45736 46644 62192 68604 74321 91472 93288 131491 137208 148642 186576 222963 262982 274416 297284 394473 445926 525964 594568 788946 891852 966173 1051928 1189136 1577892 1709383 1783704 1932346 2103856 2898519 3155784 3418766 3567408 3864692 5128149 5797038 6311568 6837532 7729384 10256298 11594076 13675064 15458768 20512596 22221979 23188152 27350128 41025192 44443958 46376304 66665937 82050384 88887916 133331874 177775832 266663748 355551664 533327496 1066654992