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1066162104 = 233273757173
BaseRepresentation
bin111111100011000…
…101011110111000
32202022011122110100
4333203011132320
54140414141404
6253443315400
735264141220
oct7743053670
92668148410
101066162104
114a7903407
1225907bb60
1313cb63b67
14a1851080
15638eed39
hex3f8c57b8

1066162104 has 96 divisors (see below), whose sum is σ = 3389274720. Its totient is φ = 296379648.

The previous prime is 1066162093. The next prime is 1066162121. The reversal of 1066162104 is 4012616601.

It is a super-2 number, since 2×10661621042 = 2273403264011413632, which contains 22 as substring.

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, 9939 + ... + 47234.

It is an arithmetic number, because the mean of its divisors is an integer number (35304945).

Almost surely, 21066162104 is an apocalyptic number.

1066162104 is a gapful number since it is divisible by the number (14) 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 1066162104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694637360).

1066162104 is an abundant number, since it is smaller than the sum of its proper divisors (2323112616).

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

1066162104 is a wasteful number, since it uses less digits than its factorization.

1066162104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57229 (or 57222 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1066162104 is about 32652.1378166882. The cubic root of 1066162104 is about 1021.5847798113.

Adding to 1066162104 its reverse (4012616601), we get a palindrome (5078778705).

The spelling of 1066162104 in words is "one billion, sixty-six million, one hundred sixty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 56 63 72 74 84 111 126 148 168 222 252 259 296 333 444 504 518 666 777 888 1036 1332 1554 2072 2331 2664 3108 4662 6216 9324 18648 57173 114346 171519 228692 343038 400211 457384 514557 686076 800422 1029114 1200633 1372152 1600844 2058228 2115401 2401266 3201688 3601899 4116456 4230802 4802532 6346203 7203798 8461604 9605064 12692406 14407596 14807807 16923208 19038609 25384812 28815192 29615614 38077218 44423421 50769624 59231228 76154436 88846842 118462456 133270263 152308872 177693684 266540526 355387368 533081052 1066162104