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20399148 = 22337112223
BaseRepresentation
bin100110111010…
…0010000101100
31102101101101000
41031310100230
520210233043
62005120300
7335250510
oct115642054
942341330
1020399148
1110573200
1269b9090
1342c3003
1429d0140
151bce2d3
hex137442c

20399148 has 144 divisors (see below), whose sum is σ = 66734080. Its totient is φ = 5274720.

The previous prime is 20399129. The next prime is 20399177. The reversal of 20399148 is 84199302.

It is a super-2 number, since 2×203991482 = 832250478251808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91365 + ... + 91587.

Almost surely, 220399148 is an apocalyptic number.

20399148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20399148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33367040).

20399148 is an abundant number, since it is smaller than the sum of its proper divisors (46334932).

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

20399148 is a wasteful number, since it uses less digits than its factorization.

20399148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 20399148 is about 4516.5415972844. The cubic root of 20399148 is about 273.2356376349.

The spelling of 20399148 in words is "twenty million, three hundred ninety-nine thousand, one hundred forty-eight".

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 99 108 121 126 132 154 189 198 223 231 242 252 297 308 363 378 396 446 462 484 594 669 693 726 756 847 892 924 1089 1188 1338 1386 1452 1561 1694 2007 2079 2178 2453 2541 2676 2772 3122 3267 3388 4014 4158 4356 4683 4906 5082 6021 6244 6534 7359 7623 8028 8316 9366 9812 10164 12042 13068 14049 14718 15246 17171 18732 22077 22869 24084 26983 28098 29436 30492 34342 42147 44154 45738 51513 53966 56196 66231 68684 80949 84294 88308 91476 103026 107932 132462 154539 161898 168588 188881 206052 242847 264924 309078 323796 377762 463617 485694 566643 618156 728541 755524 927234 971388 1133286 1457082 1699929 1854468 2266572 2914164 3399858 5099787 6799716 10199574 20399148