Search a number
-
+
235134624 = 25367139263
BaseRepresentation
bin11100000001111…
…01111010100000
3121101110002001210
432000331322200
5440143301444
635155430120
75553416454
oct1600757240
9541402053
10235134624
1111080013a
12668b5340
133993941a
142332a664
15159997b9
hexe03dea0

235134624 has 96 divisors (see below), whose sum is σ = 633346560. Its totient is φ = 76361472.

The previous prime is 235134611. The next prime is 235134629. The reversal of 235134624 is 426431532.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 235134591 and 235134600.

It is not an unprimeable number, because it can be changed into a prime (235134629) 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 15 ways as a sum of consecutive naturals, for example, 893917 + ... + 894179.

It is an arithmetic number, because the mean of its divisors is an integer number (6597360).

Almost surely, 2235134624 is an apocalyptic number.

235134624 is a gapful number since it is divisible by the number (24) 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 235134624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316673280).

235134624 is an abundant number, since it is smaller than the sum of its proper divisors (398211936).

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

235134624 is a wasteful number, since it uses less digits than its factorization.

235134624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 235134624 is about 15334.1000388024. The cubic root of 235134624 is about 617.2183958585.

The spelling of 235134624 in words is "two hundred thirty-five million, one hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 139 201 263 268 278 402 417 526 536 556 789 804 834 1052 1072 1112 1578 1608 1668 2104 2144 2224 3156 3216 3336 4208 4448 6312 6432 6672 8416 9313 12624 13344 17621 18626 25248 27939 35242 36557 37252 52863 55878 70484 73114 74504 105726 109671 111756 140968 146228 149008 211452 219342 223512 281936 292456 298016 422904 438684 447024 563872 584912 845808 877368 894048 1169824 1691616 1754736 2449319 3509472 4898638 7347957 9797276 14695914 19594552 29391828 39189104 58783656 78378208 117567312 235134624