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30798936 = 23327531153
BaseRepresentation
bin111010101111…
…1010001011000
32010221202012100
41311133101120
530341031221
63020043400
7522533550
oct165372130
963852170
1030798936
1116426773
12a393560
1364c482c
14413a160
152a85926
hex1d5f458

30798936 has 96 divisors (see below), whose sum is σ = 97212960. Its totient is φ = 8626176.

The previous prime is 30798907. The next prime is 30798953. The reversal of 30798936 is 63989703.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30798891 and 30798900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26136 + ... + 27288.

It is an arithmetic number, because the mean of its divisors is an integer number (1012635).

Almost surely, 230798936 is an apocalyptic number.

30798936 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 30798936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48606480).

30798936 is an abundant number, since it is smaller than the sum of its proper divisors (66414024).

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

30798936 is a wasteful number, since it uses less digits than its factorization.

30798936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1218 counting only the distinct ones).

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

The square root of 30798936 is about 5549.6789096307. The cubic root of 30798936 is about 313.4574318552.

It can be divided in two parts, 307989 and 36, that added together give a square (308025 = 5552).

The spelling of 30798936 in words is "thirty million, seven hundred ninety-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 53 56 63 72 84 106 126 159 168 212 252 318 371 424 477 504 636 742 954 1113 1153 1272 1484 1908 2226 2306 2968 3339 3459 3816 4452 4612 6678 6918 8071 8904 9224 10377 13356 13836 16142 20754 24213 26712 27672 32284 41508 48426 61109 64568 72639 83016 96852 122218 145278 183327 193704 244436 290556 366654 427763 488872 549981 581112 733308 855526 1099962 1283289 1466616 1711052 2199924 2566578 3422104 3849867 4399848 5133156 7699734 10266312 15399468 30798936