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20298642 = 23721347113
BaseRepresentation
bin100110101101…
…1101110010010
31102012021111120
41031123232102
520144024032
62003023110
7334351500
oct115335622
942167446
1020298642
1110504741
12696aa96
134289340
1429a5670
151bae62c
hex135bb92

20298642 has 96 divisors (see below), whose sum is σ = 52399872. Its totient is φ = 5193216.

The previous prime is 20298613. The next prime is 20298643. The reversal of 20298642 is 24689202.

It is not an unprimeable number, because it can be changed into a prime (20298643) 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, 179578 + ... + 179690.

It is an arithmetic number, because the mean of its divisors is an integer number (545832).

Almost surely, 220298642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20298642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26199936).

20298642 is an abundant number, since it is smaller than the sum of its proper divisors (32101230).

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

20298642 is a wasteful number, since it uses less digits than its factorization.

20298642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 20298642 is about 4505.4014249565. The cubic root of 20298642 is about 272.7861573257.

The spelling of 20298642 in words is "twenty million, two hundred ninety-eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 47 49 78 91 94 98 113 141 147 182 226 273 282 294 329 339 546 611 637 658 678 791 987 1222 1274 1469 1582 1833 1911 1974 2303 2373 2938 3666 3822 4277 4407 4606 4746 5311 5537 6909 8554 8814 10283 10622 11074 12831 13818 15933 16611 20566 25662 29939 30849 31866 33222 37177 59878 61698 69043 71981 74354 89817 111531 138086 143962 179634 207129 215943 223062 260239 414258 431886 483301 520478 780717 966602 1449903 1561434 2899806 3383107 6766214 10149321 20298642