Search a number
-
+
164124675 = 325211135101
BaseRepresentation
bin10011100100001…
…01100000000011
3102102211101201200
421302011200003
5314003442200
624141432243
74032015411
oct1162054003
9372741650
10164124675
118470a330
1246b6b683
1328005cc0
1417b242b1
15e61e800
hex9c85803

164124675 has 72 divisors (see below), whose sum is σ = 345425808. Its totient is φ = 73440000.

The previous prime is 164124673. The next prime is 164124677. The reversal of 164124675 is 576421461.

164124675 is a `hidden beast` number, since 1 + 641 + 2 + 4 + 6 + 7 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (164124673) and next prime (164124677).

It is not a de Polignac number, because 164124675 - 21 = 164124673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164124673) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29625 + ... + 34725.

Almost surely, 2164124675 is an apocalyptic number.

164124675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164124675 is an abundant number, since it is smaller than the sum of its proper divisors (181301133).

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

164124675 is a wasteful number, since it uses less digits than its factorization.

164124675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5141 (or 5133 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 164124675 is about 12811.1152910276. The cubic root of 164124675 is about 547.5090384446.

The spelling of 164124675 in words is "one hundred sixty-four million, one hundred twenty-four thousand, six hundred seventy-five".

Divisors: 1 3 5 9 11 13 15 25 33 39 45 55 65 75 99 117 143 165 195 225 275 325 429 495 585 715 825 975 1287 2145 2475 2925 3575 5101 6435 10725 15303 25505 32175 45909 56111 66313 76515 127525 168333 198939 229545 280555 331565 382575 504999 596817 729443 841665 994695 1147725 1402775 1657825 2188329 2524995 2984085 3647215 4208325 4973475 6564987 10941645 12624975 14920425 18236075 32824935 54708225 164124675