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20146938 = 23721729139
BaseRepresentation
bin100110011011…
…0101011111010
31101220120101220
41030312223322
520124200223
61555452510
7333150300
oct114665372
941816356
1020146938
1110410769
1268b7136
134235286
142966270
151b7e6e3
hex1336afa

20146938 has 96 divisors (see below), whose sum is σ = 51710400. Its totient is φ = 5193216.

The previous prime is 20146927. The next prime is 20146961. The reversal of 20146938 is 83964102.

It is a super-2 number, since 2×201469382 = 811798221551688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20146899 and 20146908.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144873 + ... + 145011.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 220146938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20146938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25855200).

20146938 is an abundant number, since it is smaller than the sum of its proper divisors (31563462).

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

20146938 is a wasteful number, since it uses less digits than its factorization.

20146938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 20146938 is about 4488.5340591333. The cubic root of 20146938 is about 272.1048921430.

The spelling of 20146938 in words is "twenty million, one hundred forty-six thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 21 29 34 42 49 51 58 87 98 102 119 139 147 174 203 238 278 294 357 406 417 493 609 714 833 834 973 986 1218 1421 1479 1666 1946 2363 2499 2842 2919 2958 3451 4031 4263 4726 4998 5838 6811 6902 7089 8062 8526 10353 12093 13622 14178 16541 20433 20706 24157 24186 28217 33082 40866 48314 49623 56434 68527 72471 84651 99246 115787 137054 144942 169302 197519 205581 231574 347361 395038 411162 479689 592557 694722 959378 1185114 1439067 2878134 3357823 6715646 10073469 20146938