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13835325 = 352719273
BaseRepresentation
bin110100110001…
…110000111101
3222000220111110
4310301300331
512020212300
61212312233
7225412140
oct64616075
928026443
1013835325
11789a759
124772679
132b354aa
141ba2057
151334550
hexd31c3d

13835325 has 72 divisors (see below), whose sum is σ = 27968448. Its totient is φ = 5909760.

The previous prime is 13835321. The next prime is 13835347. The reversal of 13835325 is 52353831.

13835325 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13835325 - 22 = 13835321 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13835292 and 13835301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13835321) 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 71 ways as a sum of consecutive naturals, for example, 189489 + ... + 189561.

Almost surely, 213835325 is an apocalyptic number.

13835325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13835325 is an abundant number, since it is smaller than the sum of its proper divisors (14133123).

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

13835325 is a wasteful number, since it uses less digits than its factorization.

13835325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 13835325 is about 3719.5866705859. The cubic root of 13835325 is about 240.0655203057.

The spelling of 13835325 in words is "thirteen million, eight hundred thirty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 19 21 25 35 57 73 75 95 105 133 175 219 285 361 365 399 475 511 525 665 1083 1095 1387 1425 1533 1805 1825 1995 2527 2555 3325 4161 5415 5475 6935 7581 7665 9025 9709 9975 12635 12775 20805 26353 27075 29127 34675 37905 38325 48545 63175 79059 104025 131765 145635 184471 189525 242725 395295 553413 658825 728175 922355 1976475 2767065 4611775 13835325