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1066123746 = 232599911013
BaseRepresentation
bin111111100010111…
…100000111100010
32202022002200211200
4333202330013202
54140411424441
6253442422030
735263621332
oct7742740742
92668080750
101066123746
114a7887606
12259061916
1313cb4c56c
14a18410c2
15638e37b6
hex3f8bc1e2

1066123746 has 48 divisors (see below), whose sum is σ = 2353777920. Its totient is φ = 348654240.

The previous prime is 1066123739. The next prime is 1066123753. The reversal of 1066123746 is 6473216601.

It is a happy number.

1066123746 is a `hidden beast` number, since 1 + 0 + 6 + 612 + 37 + 4 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1066123739) and next prime (1066123753).

It is a super-2 number, since 2×10661237462 = 2273239683570145032, 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 1066123746.

It is an unprimeable number.

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, 1051936 + ... + 1052948.

It is an arithmetic number, because the mean of its divisors is an integer number (49037040).

Almost surely, 21066123746 is an apocalyptic number.

1066123746 is an abundant number, since it is smaller than the sum of its proper divisors (1287654174).

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

1066123746 is a wasteful number, since it uses less digits than its factorization.

1066123746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1066123746 is about 32651.5504379195. The cubic root of 1066123746 is about 1021.5725282601.

The spelling of 1066123746 in words is "one billion, sixty-six million, one hundred twenty-three thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 59 118 177 354 531 991 1013 1062 1982 2026 2973 3039 5946 6078 8919 9117 17838 18234 58469 59767 116938 119534 175407 179301 350814 358602 526221 537903 1003883 1052442 1075806 2007766 3011649 6023298 9034947 18069894 59229097 118458194 177687291 355374582 533061873 1066123746