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30036825 = 3452713163
BaseRepresentation
bin111001010010…
…1001101011001
32002112000210000
41302211031121
530142134300
62551443213
7513210630
oct162451531
962460700
1030036825
1115a56125
12a086509
1362b8990
143dbc517
152984c00
hex1ca5359

30036825 has 120 divisors (see below), whose sum is σ = 68898368. Its totient is φ = 12597120.

The previous prime is 30036823. The next prime is 30036829. The reversal of 30036825 is 52863003.

It is not a de Polignac number, because 30036825 - 21 = 30036823 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 (30036823) 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, 184194 + ... + 184356.

Almost surely, 230036825 is an apocalyptic number.

30036825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30036825 is an abundant number, since it is smaller than the sum of its proper divisors (38861543).

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

30036825 is a wasteful number, since it uses less digits than its factorization.

30036825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30036825 is about 5480.5861912755. The cubic root of 30036825 is about 310.8503362071.

Adding to 30036825 its reverse (52863003), we get a palindrome (82899828).

The spelling of 30036825 in words is "thirty million, thirty-six thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 81 91 105 117 135 163 175 189 195 225 273 315 325 351 405 455 489 525 567 585 675 815 819 945 975 1053 1141 1365 1467 1575 1755 2025 2119 2275 2445 2457 2835 2925 3423 4075 4095 4401 4725 5265 5705 6357 6825 7335 7371 8775 10269 10595 12225 12285 13203 14175 14833 17115 19071 20475 22005 26325 28525 30807 31785 36675 36855 44499 51345 52975 57213 61425 66015 74165 85575 92421 95355 110025 133497 154035 158925 171639 184275 222495 256725 286065 330075 370825 400491 462105 476775 667485 770175 858195 1112475 1201473 1430325 2002455 2310525 3337425 4290975 6007365 10012275 30036825