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164241160 = 235231671069
BaseRepresentation
bin10011100101000…
…01111100001000
3102110001022111221
421302201330020
5314021204120
624144131424
74033012126
oct1162417410
9373038457
10164241160
11847898a6
1247006b74
1328047025
1417b54916
15e6440aa
hex9ca1f08

164241160 has 64 divisors (see below), whose sum is σ = 388281600. Its totient is φ = 62405376.

The previous prime is 164241151. The next prime is 164241163. The reversal of 164241160 is 61142461.

It is not an unprimeable number, because it can be changed into a prime (164241163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153106 + ... + 154174.

It is an arithmetic number, because the mean of its divisors is an integer number (6066900).

Almost surely, 2164241160 is an apocalyptic number.

164241160 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 164241160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194140800).

164241160 is an abundant number, since it is smaller than the sum of its proper divisors (224040440).

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

164241160 is a wasteful number, since it uses less digits than its factorization.

164241160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 164241160 is about 12815.6607320887. The cubic root of 164241160 is about 547.6385365597.

The spelling of 164241160 in words is "one hundred sixty-four million, two hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 167 184 230 334 460 668 835 920 1069 1336 1670 2138 3340 3841 4276 5345 6680 7682 8552 10690 15364 19205 21380 24587 30728 38410 42760 49174 76820 98348 122935 153640 178523 196696 245870 357046 491740 714092 892615 983480 1428184 1785230 3570460 4106029 7140920 8212058 16424116 20530145 32848232 41060290 82120580 164241160