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213894480 = 24352338749
BaseRepresentation
bin11001011111111…
…00010101010000
3112220110222001210
430233330111100
5414224110410
633120300120
75205034032
oct1457742520
9486428053
10213894480
11aa8130a8
125b771640
13354106a7
142059bc52
1513ba1220
hexcbfc550

213894480 has 80 divisors (see below), whose sum is σ = 691920000. Its totient is φ = 54557184.

The previous prime is 213894463. The next prime is 213894491. The reversal of 213894480 is 84498312.

It is a tau number, because it is divible by the number of its divisors (80).

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, 13855 + ... + 24894.

It is an arithmetic number, because the mean of its divisors is an integer number (8649000).

Almost surely, 2213894480 is an apocalyptic number.

213894480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213894480 is an abundant number, since it is smaller than the sum of its proper divisors (478025520).

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

213894480 is a wasteful number, since it uses less digits than its factorization.

213894480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38788 (or 38782 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 213894480 is about 14625.1317942780. The cubic root of 213894480 is about 598.0440753038.

The spelling of 213894480 in words is "two hundred thirteen million, eight hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 38749 77498 116247 154996 193745 232494 309992 387490 464988 581235 619984 774980 891227 929976 1162470 1549960 1782454 1859952 2324940 2673681 3099920 3564908 4456135 4649880 5347362 7129816 8912270 9299760 10694724 13368405 14259632 17824540 21389448 26736810 35649080 42778896 53473620 71298160 106947240 213894480