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293121430 = 25722331839
BaseRepresentation
bin10001011110001…
…010110110010110
3202102120010000021
4101132022312112
51100014341210
645030335354
710156330300
oct2136126626
9672503007
10293121430
11140506518
12821ba55a
134895cc44
142ad02970
151ab00bda
hex1178ad96

293121430 has 96 divisors (see below), whose sum is σ = 661893120. Its totient is φ = 92917440.

The previous prime is 293121427. The next prime is 293121443. The reversal of 293121430 is 34121392.

It is a junction number, because it is equal to n+sod(n) for n = 293121395 and 293121404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348951 + ... + 349789.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2293121430 is an apocalyptic number.

293121430 is an abundant number, since it is smaller than the sum of its proper divisors (368771690).

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

293121430 is a wasteful number, since it uses less digits than its factorization.

293121430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 293121430 is about 17120.7894093701. The cubic root of 293121430 is about 664.2769611408.

The spelling of 293121430 in words is "two hundred ninety-three million, one hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 23 31 35 46 49 62 70 98 115 155 161 217 230 245 310 322 434 490 713 805 839 1085 1127 1426 1519 1610 1678 2170 2254 3038 3565 4195 4991 5635 5873 7130 7595 8390 9982 11270 11746 15190 19297 24955 26009 29365 34937 38594 41111 49910 52018 58730 69874 82222 96485 130045 135079 174685 182063 192970 205555 260090 270158 349370 364126 411110 598207 675395 910315 945553 1196414 1274441 1350790 1820630 1891106 2548882 2991035 4187449 4727765 5982070 6372205 8374898 9455530 12744410 20937245 29312143 41874490 58624286 146560715 293121430