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166661640 = 233252691721
BaseRepresentation
bin10011110111100…
…00111000001000
3102121121021210100
421323300320020
5320131133030
624312045400
74062412665
oct1173607010
9377537710
10166661640
11860923a2
1247993860
13286b3972
14181c4a6c
15e971360
hex9ef0e08

166661640 has 96 divisors (see below), whose sum is σ = 543979800. Its totient is φ = 44252160.

The previous prime is 166661609. The next prime is 166661681. The reversal of 166661640 is 46166661.

It can be written as a sum of positive squares in 4 ways, for example, as 113167044 + 53494596 = 10638^2 + 7314^2 .

It is a super-2 number, since 2×1666616402 = 55552204494979200, 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 = 166661595 and 166661604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95980 + ... + 97700.

Almost surely, 2166661640 is an apocalyptic number.

166661640 is a gapful number since it is divisible by the number (10) 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 166661640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271989900).

166661640 is an abundant number, since it is smaller than the sum of its proper divisors (377318160).

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

166661640 is a wasteful number, since it uses less digits than its factorization.

166661640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 166661640 is about 12909.7498039273. The cubic root of 166661640 is about 550.3156755309.

The spelling of 166661640 in words is "one hundred sixty-six million, six hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 269 360 538 807 1076 1345 1614 1721 2152 2421 2690 3228 3442 4035 4842 5163 5380 6456 6884 8070 8605 9684 10326 10760 12105 13768 15489 16140 17210 19368 20652 24210 25815 30978 32280 34420 41304 48420 51630 61956 68840 77445 96840 103260 123912 154890 206520 309780 462949 619560 925898 1388847 1851796 2314745 2777694 3703592 4166541 4629490 5555388 6944235 8333082 9258980 11110776 13888470 16666164 18517960 20832705 27776940 33332328 41665410 55553880 83330820 166661640