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164321500 = 22537219353
BaseRepresentation
bin10011100101101…
…01100011011100
3102110012101201111
421302311203130
5314031242000
624145551404
74033465300
oct1162654334
9373171644
10164321500
11848341a2
1247045564
1328074775
1417b75d00
15e65ccba
hex9cb58dc

164321500 has 144 divisors (see below), whose sum is σ = 440687520. Its totient is φ = 53222400.

The previous prime is 164321489. The next prime is 164321513. The reversal of 164321500 is 5123461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465324 + ... + 465676.

It is an arithmetic number, because the mean of its divisors is an integer number (3060330).

Almost surely, 2164321500 is an apocalyptic number.

164321500 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 164321500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220343760).

164321500 is an abundant number, since it is smaller than the sum of its proper divisors (276366020).

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

164321500 is a wasteful number, since it uses less digits than its factorization.

164321500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 164321500 is about 12818.7947951436. The cubic root of 164321500 is about 547.7278160641.

Adding to 164321500 its reverse (5123461), we get a palindrome (169444961).

The spelling of 164321500 in words is "one hundred sixty-four million, three hundred twenty-one thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 49 50 70 76 95 98 100 125 133 140 175 190 196 245 250 266 350 353 380 475 490 500 532 665 700 706 875 931 950 980 1225 1330 1412 1750 1765 1862 1900 2375 2450 2471 2660 3325 3500 3530 3724 4655 4750 4900 4942 6125 6650 6707 7060 8825 9310 9500 9884 12250 12355 13300 13414 16625 17297 17650 18620 23275 24500 24710 26828 33250 33535 34594 35300 44125 46550 46949 49420 61775 66500 67070 69188 86485 88250 93100 93898 116375 123550 134140 167675 172970 176500 187796 232750 234745 247100 308875 328643 335350 345940 432425 465500 469490 617750 657286 670700 838375 864850 938980 1173725 1235500 1314572 1643215 1676750 1729700 2162125 2347450 3286430 3353500 4324250 4694900 5868625 6572860 8216075 8648500 11737250 16432150 23474500 32864300 41080375 82160750 164321500