Search a number
-
+
1066613625 = 325372111759
BaseRepresentation
bin111111100100110…
…011101101111001
32202100000120211100
4333210303231321
54141023114000
6253501122013
735301031500
oct7744635571
92670016740
101066613625
114a8091670
12259259309
1313cc9152c
14a192b837
156398da00
hex3f933b79

1066613625 has 144 divisors (see below), whose sum is σ = 2441387520. Its totient is φ = 443016000.

The previous prime is 1066613579. The next prime is 1066613687. The reversal of 1066613625 is 5263166601.

It is not a de Polignac number, because 1066613625 - 28 = 1066613369 is a prime.

It is a super-2 number, since 2×10666136252 = 2275329250071281250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1066613625.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 605496 + ... + 607254.

It is an arithmetic number, because the mean of its divisors is an integer number (16954080).

Almost surely, 21066613625 is an apocalyptic number.

1066613625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1066613625 is an abundant number, since it is smaller than the sum of its proper divisors (1374773895).

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

1066613625 is a wasteful number, since it uses less digits than its factorization.

1066613625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1066613625 is about 32659.0511956487. The cubic root of 1066613625 is about 1021.7289736067.

The spelling of 1066613625 in words is "one billion, sixty-six million, six hundred thirteen thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 49 55 63 75 77 99 105 125 147 165 175 225 231 245 275 315 375 385 441 495 525 539 693 735 825 875 1125 1155 1225 1375 1575 1617 1759 1925 2205 2475 2625 2695 3465 3675 4125 4851 5277 5775 6125 7875 8085 8795 9625 11025 12313 12375 13475 15831 17325 18375 19349 24255 26385 28875 36939 40425 43975 55125 58047 61565 67375 79155 86191 86625 96745 110817 121275 131925 135443 174141 184695 202125 219875 258573 290235 307825 395775 406329 430955 483725 554085 606375 659625 677215 775719 870705 923475 948101 1218987 1292865 1451175 1539125 1978875 2031645 2154775 2418625 2770425 2844303 3386075 3878595 4353525 4617375 4740505 6094935 6464325 7255875 8532909 10158225 10773875 13852125 14221515 16930375 19392975 21767625 23702525 30474675 32321625 42664545 50791125 71107575 96964875 118512625 152373375 213322725 355537875 1066613625