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30011712 = 263672333
BaseRepresentation
bin111001001111…
…1000101000000
32002110202022220
41302133011000
530140333322
62551131040
7513044463
oct162370500
962422286
1030011712
1115a39275
12a073a80
1362aa413
143db32da
15297c55c
hex1c9f140

30011712 has 56 divisors (see below), whose sum is σ = 80625696. Its totient is φ = 9850368.

The previous prime is 30011701. The next prime is 30011731. The reversal of 30011712 is 21711003.

It is a junction number, because it is equal to n+sod(n) for n = 30011691 and 30011700.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11698 + ... + 14030.

Almost surely, 230011712 is an apocalyptic number.

30011712 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 30011712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40312848).

30011712 is an abundant number, since it is smaller than the sum of its proper divisors (50613984).

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

30011712 is a wasteful number, since it uses less digits than its factorization.

30011712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 30011712 is about 5478.2946251548. The cubic root of 30011712 is about 310.7636807869.

Adding to 30011712 its reverse (21711003), we get a palindrome (51722715).

The spelling of 30011712 in words is "thirty million, eleven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 1072 1608 2144 2333 3216 4288 4666 6432 6999 9332 12864 13998 18664 27996 37328 55992 74656 111984 149312 156311 223968 312622 447936 468933 625244 937866 1250488 1875732 2500976 3751464 5001952 7502928 10003904 15005856 30011712