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30131712 = 293213503
BaseRepresentation
bin111001011110…
…0011000000000
32002200211221100
41302330120000
530203203322
62553454400
7514054362
oct162743000
962624840
1030131712
1116010446
12a111400
13631cc20
144004d32
1529a2dac
hex1cbc600

30131712 has 120 divisors (see below), whose sum is σ = 93837744. Its totient is φ = 9252864.

The previous prime is 30131711. The next prime is 30131779. The reversal of 30131712 is 21713103.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30131711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59653 + ... + 60155.

Almost surely, 230131712 is an apocalyptic number.

30131712 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 30131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46918872).

30131712 is an abundant number, since it is smaller than the sum of its proper divisors (63706032).

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

30131712 is a wasteful number, since it uses less digits than its factorization.

30131712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 30131712 is about 5489.2360124156. The cubic root of 30131712 is about 311.1773198469.

Adding to 30131712 its reverse (21713103), we get a palindrome (51844815).

The spelling of 30131712 in words is "thirty million, one hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 503 512 576 624 768 832 936 1006 1152 1248 1509 1536 1664 1872 2012 2304 2496 3018 3328 3744 4024 4527 4608 4992 6036 6539 6656 7488 8048 9054 9984 12072 13078 14976 16096 18108 19617 19968 24144 26156 29952 32192 36216 39234 48288 52312 58851 59904 64384 72432 78468 96576 104624 117702 128768 144864 156936 193152 209248 235404 257536 289728 313872 386304 418496 470808 579456 627744 772608 836992 941616 1158912 1255488 1673984 1883232 2317824 2510976 3347968 3766464 5021952 7532928 10043904 15065856 30131712