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29270241 = 3471113192
BaseRepresentation
bin110111110101…
…0000011100001
32001002002020000
41233222003201
524443121431
62523210213
7503535660
oct157520341
961062200
1029270241
1115582190
129976969
1360aaa90
143c5cdd7
1528829e6
hex1bea0e1

29270241 has 120 divisors (see below), whose sum is σ = 61959744. Its totient is φ = 13296960.

The previous prime is 29270239. The next prime is 29270249. The reversal of 29270241 is 14207292.

It is not a de Polignac number, because 29270241 - 21 = 29270239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (29270249) 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 119 ways as a sum of consecutive naturals, for example, 1540530 + ... + 1540548.

Almost surely, 229270241 is an apocalyptic number.

29270241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

29270241 is an abundant number, since it is smaller than the sum of its proper divisors (32689503).

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

29270241 is a wasteful number, since it uses less digits than its factorization.

29270241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 29270241 is about 5410.1978706883. The cubic root of 29270241 is about 308.1830621697.

The spelling of 29270241 in words is "twenty-nine million, two hundred seventy thousand, two hundred forty-one".

Divisors: 1 3 7 9 11 13 19 21 27 33 39 57 63 77 81 91 99 117 133 143 171 189 209 231 247 273 297 351 361 399 429 513 567 627 693 741 819 891 1001 1053 1083 1197 1287 1463 1539 1729 1881 2079 2223 2457 2527 2717 3003 3249 3591 3861 3971 4389 4693 5187 5643 6237 6669 7371 7581 8151 9009 9747 10773 11583 11913 13167 14079 15561 16929 19019 20007 22743 24453 27027 27797 29241 32851 35739 39501 42237 46683 51623 57057 68229 73359 81081 83391 98553 107217 118503 126711 140049 154869 171171 204687 220077 250173 295659 321651 361361 380133 464607 513513 750519 886977 1084083 1393821 1540539 2251557 2660931 3252249 4181463 9756747 29270241