Search a number
-
+
1066447440 = 243252364399
BaseRepresentation
bin111111100100001…
…011001001010000
32202022201010212100
4333210023021100
54141002304230
6253453400400
735266440132
oct7744131120
92668633770
101066447440
114a7a88823
12259199100
1313cc339b6
14a18c7052
1563959660
hex3f90b250

1066447440 has 120 divisors (see below), whose sum is σ = 3737260800. Its totient is φ = 272017152.

The previous prime is 1066447427. The next prime is 1066447469. The reversal of 1066447440 is 447446601.

1066447440 is a `hidden beast` number, since 1 + 0 + 6 + 644 + 7 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10664474402 = 2274620284565107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1066447395 and 1066447404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15640 + ... + 48759.

It is an arithmetic number, because the mean of its divisors is an integer number (31143840).

Almost surely, 21066447440 is an apocalyptic number.

1066447440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066447440 is an abundant number, since it is smaller than the sum of its proper divisors (2670813360).

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

1066447440 is a wasteful number, since it uses less digits than its factorization.

1066447440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64441 (or 64432 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 1066447440 is about 32656.5068554492. The cubic root of 1066447440 is about 1021.6759069527.

The spelling of 1066447440 in words is "one billion, sixty-six million, four hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 16560 64399 128798 193197 257596 321995 386394 515192 579591 643990 772788 965985 1030384 1159182 1287980 1481177 1545576 1931970 2318364 2575960 2897955 2962354 3091152 3863940 4443531 4636728 5151920 5795910 5924708 7405885 7727880 8887062 9273456 11591820 11849416 13330593 14811770 15455760 17774124 22217655 23183640 23698832 26661186 29623540 35548248 44435310 46367280 53322372 59247080 66652965 71096496 88870620 106644744 118494160 133305930 177741240 213289488 266611860 355482480 533223720 1066447440