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424684140 = 2235173491193
BaseRepresentation
bin11001010100000…
…010101001101100
31002121010012010020
4121110002221230
51332204343030
6110050242140
713344520116
oct3124025154
91077105106
10424684140
111a87a5531
12ba286350
1369ca4aba
144058c3b6
152743c510
hex19502a6c

424684140 has 96 divisors (see below), whose sum is σ = 1263729600. Its totient is φ = 106192896.

The previous prime is 424684111. The next prime is 424684147. The reversal of 424684140 is 41486424.

It is not an unprimeable number, because it can be changed into a prime (424684147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355384 + ... + 356576.

It is an arithmetic number, because the mean of its divisors is an integer number (13163850).

Almost surely, 2424684140 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 424684140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631864800).

424684140 is an abundant number, since it is smaller than the sum of its proper divisors (839045460).

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

424684140 is a wasteful number, since it uses less digits than its factorization.

424684140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 424684140 is about 20607.8659739431. The cubic root of 424684140 is about 751.6609943039.

The spelling of 424684140 in words is "four hundred twenty-four million, six hundred eighty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 349 510 698 1020 1047 1193 1396 1745 2094 2386 3490 3579 4188 4772 5235 5933 5965 6980 7158 10470 11866 11930 14316 17799 17895 20281 20940 23732 23860 29665 35598 35790 40562 59330 60843 71196 71580 81124 88995 101405 118660 121686 177990 202810 243372 304215 355980 405620 416357 608430 832714 1216860 1249071 1665428 2081785 2498142 4163570 4996284 6245355 7078069 8327140 12490710 14156138 21234207 24981420 28312276 35390345 42468414 70780690 84936828 106171035 141561380 212342070 424684140