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164210004 = 22347174259
BaseRepresentation
bin10011100100110…
…10010101010100
3102102222201210000
421302122111110
5314014210004
624143331300
74032522240
oct1162322524
9372881700
10164210004
1184768452
1246bb0b30
1328035aaa
1417b47420
15e639c39
hex9c9a554

164210004 has 120 divisors (see below), whose sum is σ = 519583680. Its totient is φ = 44146944.

The previous prime is 164210003. The next prime is 164210009. The reversal of 164210004 is 400012461.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164210003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36427 + ... + 40685.

It is an arithmetic number, because the mean of its divisors is an integer number (4329864).

Almost surely, 2164210004 is an apocalyptic number.

164210004 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 164210004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259791840).

164210004 is an abundant number, since it is smaller than the sum of its proper divisors (355373676).

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

164210004 is a wasteful number, since it uses less digits than its factorization.

164210004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 164210004 is about 12814.4451303987. The cubic root of 164210004 is about 547.6039059688.

Adding to 164210004 its reverse (400012461), we get a palindrome (564222465).

The spelling of 164210004 in words is "one hundred sixty-four million, two hundred ten thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 252 306 324 357 378 459 476 567 612 714 756 918 1071 1134 1377 1428 1836 2142 2268 2754 3213 4259 4284 5508 6426 8518 9639 12777 12852 17036 19278 25554 29813 38331 38556 51108 59626 72403 76662 89439 114993 119252 144806 153324 178878 217209 229986 268317 289612 344979 357756 434418 459972 506821 536634 651627 689958 804951 868836 1013642 1073268 1303254 1379916 1520463 1609902 1954881 2027284 2414853 2606508 3040926 3219804 3909762 4561389 4829706 5864643 6081852 7819524 9122778 9659412 11729286 13684167 18245556 23458572 27368334 41052501 54736668 82105002 164210004