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30011040 = 253356947
BaseRepresentation
bin111001001111…
…0111010100000
32002110201102000
41302132322200
530140323130
62551124000
7513042513
oct162367240
962421360
1030011040
1115a38814
12a073600
1362aa017
143db2d7a
15297c260
hex1c9eea0

30011040 has 96 divisors (see below), whose sum is σ = 105053760. Its totient is φ = 8001792.

The previous prime is 30011029. The next prime is 30011041. The reversal of 30011040 is 4011003.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (30011041) 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 15 ways as a sum of consecutive naturals, for example, 847 + ... + 7793.

It is an arithmetic number, because the mean of its divisors is an integer number (1094310).

Almost surely, 230011040 is an apocalyptic number.

30011040 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 30011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52526880).

30011040 is an abundant number, since it is smaller than the sum of its proper divisors (75042720).

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

30011040 is a wasteful number, since it uses less digits than its factorization.

30011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6971 (or 6957 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 30011040 is about 5478.2332918561. The cubic root of 30011040 is about 310.7613613063.

Adding to 30011040 its reverse (4011003), we get a palindrome (34022043).

The spelling of 30011040 in words is "thirty million, eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 6947 13894 20841 27788 34735 41682 55576 62523 69470 83364 104205 111152 125046 138940 166728 187569 208410 222304 250092 277880 312615 333456 375138 416820 500184 555760 625230 666912 750276 833640 937845 1000368 1111520 1250460 1500552 1667280 1875690 2000736 2500920 3001104 3334560 3751380 5001840 6002208 7502760 10003680 15005520 30011040