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20381148 = 22321983359
BaseRepresentation
bin100110110111…
…1110111011100
31102100110200100
41031233313130
520204144043
62004501100
7335144154
oct115576734
942313610
1020381148
1110560727
1269aa790
1342b7a68
1429c7764
151bc8cd3
hex136fddc

20381148 has 72 divisors (see below), whose sum is σ = 55036800. Its totient is φ = 6340896.

The previous prime is 20381107. The next prime is 20381149. The reversal of 20381148 is 84118302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20381149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56593 + ... + 56951.

It is an arithmetic number, because the mean of its divisors is an integer number (764400).

Almost surely, 220381148 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 20381148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518400).

20381148 is an abundant number, since it is smaller than the sum of its proper divisors (34655652).

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

20381148 is a wasteful number, since it uses less digits than its factorization.

20381148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 20381148 is about 4514.5484824066. The cubic root of 20381148 is about 273.1552472057.

The spelling of 20381148 in words is "twenty million, three hundred eighty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 83 114 166 171 228 249 332 342 359 498 684 718 747 996 1077 1436 1494 1577 2154 2988 3154 3231 4308 4731 6308 6462 6821 9462 12924 13642 14193 18924 20463 27284 28386 29797 40926 56772 59594 61389 81852 89391 119188 122778 178782 245556 268173 357564 536346 566143 1072692 1132286 1698429 2264572 3396858 5095287 6793716 10190574 20381148