Search a number
-
+
30513525 = 3527219223
BaseRepresentation
bin111010001100…
…1100101110101
32010102020200120
41310121211311
530302413100
63010002153
7520234500
oct164314565
963366616
1030513525
1116251299
12a276359
136424953
1440a4137
152a2b0a0
hex1d19975

30513525 has 108 divisors (see below), whose sum is σ = 64629792. Its totient is φ = 12640320.

The previous prime is 30513499. The next prime is 30513529. The reversal of 30513525 is 52531503.

It is not a de Polignac number, because 30513525 - 212 = 30509429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30513495 and 30513504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30513529) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1326664 + ... + 1326686.

It is an arithmetic number, because the mean of its divisors is an integer number (598424).

Almost surely, 230513525 is an apocalyptic number.

30513525 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30513525 is an abundant number, since it is smaller than the sum of its proper divisors (34116267).

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

30513525 is a wasteful number, since it uses less digits than its factorization.

30513525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 30513525 is about 5523.9048688405. The cubic root of 30513525 is about 312.4861647208.

The spelling of 30513525 in words is "thirty million, five hundred thirteen thousand, five hundred twenty-five".

Divisors: 1 3 5 7 15 19 21 23 25 35 49 57 69 75 95 105 115 133 147 161 175 245 285 345 361 399 437 475 483 525 575 665 735 805 931 1083 1127 1225 1311 1425 1725 1805 1995 2185 2415 2527 2793 3059 3325 3381 3675 4025 4655 5415 5635 6555 7581 8303 9025 9177 9975 10925 12075 12635 13965 15295 16905 17689 21413 23275 24909 27075 28175 32775 37905 41515 45885 53067 58121 63175 64239 69825 76475 84525 88445 107065 124545 174363 189525 207575 229425 265335 290605 321195 406847 442225 535325 622725 871815 1220541 1326675 1453025 1605975 2034235 4359075 6102705 10171175 30513525