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30789936 = 2433263271
BaseRepresentation
bin111010101110…
…1000100110000
32010221021212000
41311131010300
530340234221
63015534000
7522465402
oct165350460
963837760
1030789936
111641aa31
12a38a300
1364c06c8
144136b72
152a82e26
hex1d5d130

30789936 has 80 divisors (see below), whose sum is σ = 89041920. Its totient is φ = 10186560.

The previous prime is 30789887. The next prime is 30789943. The reversal of 30789936 is 63998703.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30789891 and 30789900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113481 + ... + 113751.

It is an arithmetic number, because the mean of its divisors is an integer number (1113024).

Almost surely, 230789936 is an apocalyptic number.

30789936 is a gapful number since it is divisible by the number (36) 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 30789936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44520960).

30789936 is an abundant number, since it is smaller than the sum of its proper divisors (58251984).

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

30789936 is a wasteful number, since it uses less digits than its factorization.

30789936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 30789936 is about 5548.8679926630. The cubic root of 30789936 is about 313.4268962578.

The spelling of 30789936 in words is "thirty million, seven hundred eighty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 263 271 432 526 542 789 813 1052 1084 1578 1626 2104 2168 2367 2439 3156 3252 4208 4336 4734 4878 6312 6504 7101 7317 9468 9756 12624 13008 14202 14634 18936 19512 28404 29268 37872 39024 56808 58536 71273 113616 117072 142546 213819 285092 427638 570184 641457 855276 1140368 1282914 1710552 1924371 2565828 3421104 3848742 5131656 7697484 10263312 15394968 30789936