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30827412 = 22337112337
BaseRepresentation
bin111010110011…
…0001110010100
32011000012021000
41311212032110
530342434122
63020423300
7523012560
oct165461624
964005230
1030827412
1116446100
12a3a7b30
136504795
1441466a0
152a8e0ac
hex1d66394

30827412 has 144 divisors (see below), whose sum is σ = 100696960. Its totient is φ = 7983360.

The previous prime is 30827411. The next prime is 30827413. The reversal of 30827412 is 21472803.

It is an interprime number because it is at equal distance from previous prime (30827411) and next prime (30827413).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30827411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91308 + ... + 91644.

Almost surely, 230827412 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 30827412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50348480).

30827412 is an abundant number, since it is smaller than the sum of its proper divisors (69869548).

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

30827412 is a wasteful number, since it uses less digits than its factorization.

30827412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 30827412 is about 5552.2438707247. The cubic root of 30827412 is about 313.5540073160.

The spelling of 30827412 in words is "thirty million, eight hundred twenty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 121 126 132 154 189 198 231 242 252 297 308 337 363 378 396 462 484 594 674 693 726 756 847 924 1011 1089 1188 1348 1386 1452 1694 2022 2079 2178 2359 2541 2772 3033 3267 3388 3707 4044 4158 4356 4718 5082 6066 6534 7077 7414 7623 8316 9099 9436 10164 11121 12132 13068 14154 14828 15246 18198 21231 22242 22869 25949 28308 30492 33363 36396 40777 42462 44484 45738 51898 63693 66726 77847 81554 84924 91476 100089 103796 122331 127386 133452 155694 163108 200178 233541 244662 254772 285439 311388 366993 400356 467082 489324 570878 700623 733986 856317 934164 1100979 1141756 1401246 1467972 1712634 2201958 2568951 2802492 3425268 4403916 5137902 7706853 10275804 15413706 30827412