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30563136 = 263323769
BaseRepresentation
bin111010010010…
…1101101000000
32010111202202000
41310211231000
530311010021
63011024000
7520532232
oct164455500
963452660
1030563136
111628559a
12a29b000
1364413c6
1440b8252
152a3ab26
hex1d25b40

30563136 has 112 divisors (see below), whose sum is σ = 93878400. Its totient is φ = 9732096.

The previous prime is 30563131. The next prime is 30563149. The reversal of 30563136 is 63136503.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30563131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39360 + ... + 40128.

It is an arithmetic number, because the mean of its divisors is an integer number (838200).

Almost surely, 230563136 is an apocalyptic number.

30563136 is a gapful number since it is divisible by the number (36) 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 30563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46939200).

30563136 is an abundant number, since it is smaller than the sum of its proper divisors (63315264).

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

30563136 is a wasteful number, since it uses less digits than its factorization.

30563136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 30563136 is about 5528.3936184031. The cubic root of 30563136 is about 312.6554268965.

Adding to 30563136 its reverse (63136503), we get a palindrome (93699639).

The spelling of 30563136 in words is "thirty million, five hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 769 828 864 1104 1242 1472 1538 1656 1728 2208 2307 2484 3076 3312 4416 4614 4968 6152 6624 6921 9228 9936 12304 13248 13842 17687 18456 19872 20763 24608 27684 35374 36912 39744 41526 49216 53061 55368 70748 73824 83052 106122 110736 141496 147648 159183 166104 212244 221472 282992 318366 332208 424488 442944 477549 565984 636732 664416 848976 955098 1131968 1273464 1328832 1697952 1910196 2546928 3395904 3820392 5093856 7640784 10187712 15281568 30563136