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164148660 = 223351367349
BaseRepresentation
bin10011100100010…
…11010110110100
3102102212121122000
421302023112310
5314010224120
624142135300
74032145344
oct1162132664
9372777560
10164148660
1184726355
1246b81530
1328013bb0
1417b2cd24
15e626990
hex9c8b5b4

164148660 has 192 divisors, whose sum is σ = 559776000. Its totient is φ = 39688704.

The previous prime is 164148653. The next prime is 164148667. The reversal of 164148660 is 66841461.

164148660 is a `hidden beast` number, since 1 + 641 + 4 + 8 + 6 + 6 + 0 = 666.

164148660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164148653) and next prime (164148667).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164148667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470166 + ... + 470514.

It is an arithmetic number, because the mean of its divisors is an integer number (2915500).

Almost surely, 2164148660 is an apocalyptic number.

164148660 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 164148660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279888000).

164148660 is an abundant number, since it is smaller than the sum of its proper divisors (395627340).

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

164148660 is a wasteful number, since it uses less digits than its factorization.

164148660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 164148660 is about 12812.0513579988. The cubic root of 164148660 is about 547.5357079357.

The spelling of 164148660 in words is "one hundred sixty-four million, one hundred forty-eight thousand, six hundred sixty".