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166630560 = 2535418467
BaseRepresentation
bin10011110111010…
…01010010100000
3102121112201011020
421323221102200
5320124134220
624311245440
74062223245
oct1173512240
9377481136
10166630560
1186071008
1247979880
13286a2785
14181b75cc
15e967040
hex9ee94a0

166630560 has 96 divisors (see below), whose sum is σ = 537751872. Its totient is φ = 43345920.

The previous prime is 166630553. The next prime is 166630567. The reversal of 166630560 is 65036661.

It is an interprime number because it is at equal distance from previous prime (166630553) and next prime (166630567).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (166630567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15447 + ... + 23913.

It is an arithmetic number, because the mean of its divisors is an integer number (5601582).

Almost surely, 2166630560 is an apocalyptic number.

166630560 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 166630560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268875936).

166630560 is an abundant number, since it is smaller than the sum of its proper divisors (371121312).

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

166630560 is a wasteful number, since it uses less digits than its factorization.

166630560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8526 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 166630560 is about 12908.5460064254. The cubic root of 166630560 is about 550.2814647501.

The spelling of 166630560 in words is "one hundred sixty-six million, six hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 6560 8467 9840 16934 19680 25401 33868 42335 50802 67736 84670 101604 127005 135472 169340 203208 254010 270944 338680 347147 406416 508020 677360 694294 812832 1016040 1041441 1354720 1388588 1735735 2032080 2082882 2777176 3471470 4064160 4165764 5207205 5554352 6942940 8331528 10414410 11108704 13885880 16663056 20828820 27771760 33326112 41657640 55543520 83315280 166630560