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164106544 = 247371992
BaseRepresentation
bin10011100100000…
…01000100110000
3102102210110212011
421302001010300
5314002402134
624141212304
74031611510
oct1162010460
9372713764
10164106544
11846a7748
1246b61094
1327cca984
1417b1b840
15e619264
hex9c81130

164106544 has 60 divisors (see below), whose sum is σ = 375084624. Its totient is φ = 68086656.

The previous prime is 164106539. The next prime is 164106557. The reversal of 164106544 is 445601461.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 824557 + ... + 824755.

Almost surely, 2164106544 is an apocalyptic number.

164106544 is a gapful number since it is divisible by the number (14) 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 164106544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187542312).

164106544 is an abundant number, since it is smaller than the sum of its proper divisors (210978080).

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

164106544 is an equidigital number, since it uses as much as digits as its factorization.

164106544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 164106544 is about 12810.4076437871. The cubic root of 164106544 is about 547.4888764307.

The spelling of 164106544 in words is "one hundred sixty-four million, one hundred six thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 199 259 296 398 518 592 796 1036 1393 1592 2072 2786 3184 4144 5572 7363 11144 14726 22288 29452 39601 51541 58904 79202 103082 117808 158404 206164 277207 316808 412328 554414 633616 824656 1108828 1465237 2217656 2930474 4435312 5860948 10256659 11721896 20513318 23443792 41026636 82053272 164106544