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14147952 = 2437134179
BaseRepresentation
bin110101111110…
…000101110000
3222121210100020
4311332011300
512110213302
61223123440
7231153450
oct65760560
928553306
1014147952
117a93625
1248a3580
132c14890
141c43d60
151396ebc
hexd7e170

14147952 has 160 divisors (see below), whose sum is σ = 46663680. Its totient is φ = 3594240.

The previous prime is 14147941. The next prime is 14147953. The reversal of 14147952 is 25974141.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14147953) 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 31 ways as a sum of consecutive naturals, for example, 179049 + ... + 179127.

It is an arithmetic number, because the mean of its divisors is an integer number (291648).

Almost surely, 214147952 is an apocalyptic number.

14147952 is a gapful number since it is divisible by the number (12) 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 14147952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23331840).

14147952 is an abundant number, since it is smaller than the sum of its proper divisors (32515728).

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

14147952 is a wasteful number, since it uses less digits than its factorization.

14147952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 14147952 is about 3761.3763438401. The cubic root of 14147952 is about 241.8602658466.

The spelling of 14147952 in words is "fourteen million, one hundred forty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 41 42 48 52 56 78 79 82 84 91 104 112 123 156 158 164 168 182 208 237 246 273 287 312 316 328 336 364 474 492 533 546 553 574 624 632 656 728 861 948 984 1027 1066 1092 1106 1148 1264 1456 1599 1659 1722 1896 1968 2054 2132 2184 2212 2296 3081 3198 3239 3318 3444 3731 3792 4108 4264 4368 4424 4592 6162 6396 6478 6636 6888 7189 7462 8216 8528 8848 9717 11193 12324 12792 12956 13272 13776 14378 14924 16432 19434 21567 22386 22673 24648 25584 25912 26544 28756 29848 38868 42107 43134 44772 45346 49296 51824 57512 59696 68019 77736 84214 86268 89544 90692 115024 126321 136038 155472 168428 172536 179088 181384 252642 272076 294749 336856 345072 362768 505284 544152 589498 673712 884247 1010568 1088304 1178996 1768494 2021136 2357992 3536988 4715984 7073976 14147952