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164166620 = 225171732791
BaseRepresentation
bin10011100100011…
…11101111011100
3102102220112021012
421302033233130
5314011312440
624142354352
74032251612
oct1162175734
9372815235
10164166620
11847388a2
1246b8b9b8
132801c117
1417b356b2
15e62be65
hex9c8fbdc

164166620 has 48 divisors (see below), whose sum is σ = 367270848. Its totient is φ = 61424640.

The previous prime is 164166581. The next prime is 164166659. The reversal of 164166620 is 26661461.

It is an interprime number because it is at equal distance from previous prime (164166581) and next prime (164166659).

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 15 ways as a sum of consecutive naturals, for example, 57425 + ... + 60215.

It is an arithmetic number, because the mean of its divisors is an integer number (7651476).

Almost surely, 2164166620 is an apocalyptic number.

164166620 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 164166620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183635424).

164166620 is an abundant number, since it is smaller than the sum of its proper divisors (203104228).

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

164166620 is a wasteful number, since it uses less digits than its factorization.

164166620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 164166620 is about 12812.7522414195. The cubic root of 164166620 is about 547.5556763852. Note that the first 3 decimals are identical.

The spelling of 164166620 in words is "one hundred sixty-four million, one hundred sixty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 173 340 346 692 865 1730 2791 2941 3460 5582 5882 11164 11764 13955 14705 27910 29410 47447 55820 58820 94894 189788 237235 474470 482843 948940 965686 1931372 2414215 4828430 8208331 9656860 16416662 32833324 41041655 82083310 164166620