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30981132 = 22327313193
BaseRepresentation
bin111011000101…
…1110000001100
32011022000010100
41312023300030
530412344012
63024011100
7524223000
oct166136014
964260110
1030981132
1116540646
12a460a90
136559740
144186700
152abe8dc
hex1d8bc0c

30981132 has 144 divisors (see below), whose sum is σ = 98862400. Its totient is φ = 8128512.

The previous prime is 30981109. The next prime is 30981133. The reversal of 30981132 is 23118903.

It is a junction number, because it is equal to n+sod(n) for n = 30981096 and 30981105.

It is not an unprimeable number, because it can be changed into a prime (30981133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160428 + ... + 160620.

Almost surely, 230981132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30981132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49431200).

30981132 is an abundant number, since it is smaller than the sum of its proper divisors (67881268).

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

30981132 is a wasteful number, since it uses less digits than its factorization.

30981132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 30981132 is about 5566.0697085107. The cubic root of 30981132 is about 314.0743194334.

It can be divided in two parts, 30981 and 132, that added together give a palindrome (31113).

The spelling of 30981132 in words is "thirty million, nine hundred eighty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 193 196 234 252 273 294 343 364 386 441 468 546 579 588 637 686 772 819 882 1029 1092 1158 1274 1351 1372 1638 1737 1764 1911 2058 2316 2509 2548 2702 3087 3276 3474 3822 4053 4116 4459 5018 5404 5733 6174 6948 7527 7644 8106 8918 9457 10036 11466 12159 12348 13377 15054 16212 17563 17836 18914 22581 22932 24318 26754 28371 30108 35126 37828 40131 45162 48636 52689 53508 56742 66199 70252 80262 85113 90324 105378 113484 122941 132398 158067 160524 170226 198597 210756 245882 264796 316134 340452 368823 397194 491764 595791 632268 737646 794388 860587 1106469 1191582 1475292 1721174 2212938 2383164 2581761 3442348 4425876 5163522 7745283 10327044 15490566 30981132