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1001666190 = 23575099371
BaseRepresentation
bin111011101101000…
…011011010001110
32120210210220200210
4323231003122032
54022411304230
6243221103250
733552010410
oct7355033216
92523726623
101001666190
114744616a8
1223b557b26
1312c6a16b5
14970629b0
155ce0eeb0
hex3bb4368e

1001666190 has 64 divisors (see below), whose sum is σ = 2753118720. Its totient is φ = 228478080.

The previous prime is 1001666189. The next prime is 1001666207. The reversal of 1001666190 is 916661001.

It is a happy number.

It is a super-2 number, since 2×10016661902 = 2006670312378232200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 102205 + ... + 111575.

It is an arithmetic number, because the mean of its divisors is an integer number (43017480).

Almost surely, 21001666190 is an apocalyptic number.

1001666190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001666190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376559360).

1001666190 is an abundant number, since it is smaller than the sum of its proper divisors (1751452530).

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

1001666190 is a wasteful number, since it uses less digits than its factorization.

1001666190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9897.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 1001666190 is about 31649.1104140385. The cubic root of 1001666190 is about 1000.5550884864. Note that the first 3 decimals are identical.

The spelling of 1001666190 in words is "one billion, one million, six hundred sixty-six thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 509 1018 1527 2545 3054 3563 5090 7126 7635 9371 10689 15270 17815 18742 21378 28113 35630 46855 53445 56226 65597 93710 106890 131194 140565 196791 281130 327985 393582 655970 983955 1967910 4769839 9539678 14309517 23849195 28619034 33388873 47698390 66777746 71547585 100166619 143095170 166944365 200333238 333888730 500833095 1001666190