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30263640 = 233511101227
BaseRepresentation
bin111001101110…
…0100101011000
32002221112220120
41303130211120
530221414030
63000353240
7515144121
oct163344530
962845816
1030263640
11160a0580
12a175820
136367ca4
14403b048
1529cc010
hex1cdc958

30263640 has 128 divisors (see below), whose sum is σ = 100465920. Its totient is φ = 7232000.

The previous prime is 30263633. The next prime is 30263647. The reversal of 30263640 is 4636203.

It is an interprime number because it is at equal distance from previous prime (30263633) and next prime (30263647).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30263640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30263647) 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 31 ways as a sum of consecutive naturals, for example, 133207 + ... + 133433.

It is an arithmetic number, because the mean of its divisors is an integer number (784890).

Almost surely, 230263640 is an apocalyptic number.

30263640 is a gapful number since it is divisible by the number (30) 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 30263640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50232960).

30263640 is an abundant number, since it is smaller than the sum of its proper divisors (70202280).

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

30263640 is a wasteful number, since it uses less digits than its factorization.

30263640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 30263640 is about 5501.2398602497. The cubic root of 30263640 is about 311.6308091983.

Adding to 30263640 its reverse (4636203), we get a palindrome (34899843).

It can be divided in two parts, 30263 and 640, that added together give a palindrome (30903).

The spelling of 30263640 in words is "thirty million, two hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 227 264 303 330 404 440 454 505 606 660 681 808 908 1010 1111 1135 1212 1320 1362 1515 1816 2020 2222 2270 2424 2497 2724 3030 3333 3405 4040 4444 4540 4994 5448 5555 6060 6666 6810 7491 8888 9080 9988 11110 12120 12485 13332 13620 14982 16665 19976 22220 22927 24970 26664 27240 29964 33330 37455 44440 45854 49940 59928 66660 68781 74910 91708 99880 114635 133320 137562 149820 183416 229270 252197 275124 299640 343905 458540 504394 550248 687810 756591 917080 1008788 1260985 1375620 1513182 2017576 2521970 2751240 3026364 3782955 5043940 6052728 7565910 10087880 15131820 30263640