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164104620 = 223529372549
BaseRepresentation
bin10011100100000…
…00100110101100
3102102210101012220
421302000212230
5314002321440
624141155340
74031603061
oct1162004654
9372711186
10164104620
11846a6259
1246b5bb50
1327cc9b34
1417b1ac68
15e6188d0
hex9c809ac

164104620 has 96 divisors (see below), whose sum is σ = 488376000. Its totient is φ = 41094144.

The previous prime is 164104613. The next prime is 164104627. The reversal of 164104620 is 26401461.

164104620 is digitally balanced in base 3, 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 (164104613) and next prime (164104627).

It is not an unprimeable number, because it can be changed into a prime (164104627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63106 + ... + 65654.

It is an arithmetic number, because the mean of its divisors is an integer number (5087250).

Almost surely, 2164104620 is an apocalyptic number.

164104620 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 164104620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244188000).

164104620 is an abundant number, since it is smaller than the sum of its proper divisors (324271380).

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

164104620 is a wasteful number, since it uses less digits than its factorization.

164104620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 164104620 is about 12810.3325483767. The cubic root of 164104620 is about 547.4867368193.

The spelling of 164104620 in words is "one hundred sixty-four million, one hundred four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 37 58 60 74 87 111 116 145 148 174 185 222 290 348 370 435 444 555 580 740 870 1073 1110 1740 2146 2220 2549 3219 4292 5098 5365 6438 7647 10196 10730 12745 12876 15294 16095 21460 25490 30588 32190 38235 50980 64380 73921 76470 94313 147842 152940 188626 221763 282939 295684 369605 377252 443526 471565 565878 739210 887052 943130 1108815 1131756 1414695 1478420 1886260 2217630 2735077 2829390 4435260 5470154 5658780 8205231 10940308 13675385 16410462 27350770 32820924 41026155 54701540 82052310 164104620