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30711072 = 2537231987
BaseRepresentation
bin111010100100…
…1110100100000
32010210021200010
41311021310200
530330223242
63014124520
7522016440
oct165116440
963707603
1030711072
1116376757
12a350740
136493842
144116120
152a6989c
hex1d49d20

30711072 has 96 divisors (see below), whose sum is σ = 96187392. Its totient is φ = 8388864.

The previous prime is 30711071. The next prime is 30711089. The reversal of 30711072 is 27011703.

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 (21).

It is not an unprimeable number, because it can be changed into a prime (30711071) 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, 14463 + ... + 16449.

It is an arithmetic number, because the mean of its divisors is an integer number (1001952).

Almost surely, 230711072 is an apocalyptic number.

30711072 is a gapful number since it is divisible by the number (32) 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 30711072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48093696).

30711072 is an abundant number, since it is smaller than the sum of its proper divisors (65476320).

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

30711072 is a wasteful number, since it uses less digits than its factorization.

30711072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 30711072 is about 5541.7571220688. The cubic root of 30711072 is about 313.1590681296.

Adding to 30711072 its reverse (27011703), we get a palindrome (57722775).

The spelling of 30711072 in words is "thirty million, seven hundred eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 1987 2208 2576 3864 3974 5152 5961 7728 7948 11922 13909 15456 15896 23844 27818 31792 41727 45701 47688 55636 63584 83454 91402 95376 111272 137103 166908 182804 190752 222544 274206 319907 333816 365608 445088 548412 639814 667632 731216 959721 1096824 1279628 1335264 1462432 1919442 2193648 2559256 3838884 4387296 5118512 7677768 10237024 15355536 30711072