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20693148 = 22371743337
BaseRepresentation
bin100111011110…
…0000010011100
31102221022122220
41032330002130
520244140043
62015305340
7340613610
oct116740234
942838586
1020693148
1110754083
126b1b250
134396a88
142a69340
151c3b483
hex13bc09c

20693148 has 96 divisors (see below), whose sum is σ = 59963904. Its totient is φ = 5419008.

The previous prime is 20693087. The next prime is 20693149. The reversal of 20693148 is 84139602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20693149) 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, 61236 + ... + 61572.

It is an arithmetic number, because the mean of its divisors is an integer number (624624).

Almost surely, 220693148 is an apocalyptic number.

20693148 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 20693148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29981952).

20693148 is an abundant number, since it is smaller than the sum of its proper divisors (39270756).

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

20693148 is a wasteful number, since it uses less digits than its factorization.

20693148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

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

The square root of 20693148 is about 4548.9721916055. The cubic root of 20693148 is about 274.5420388766.

The spelling of 20693148 in words is "twenty million, six hundred ninety-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 43 51 68 84 86 102 119 129 172 204 238 258 301 337 357 476 516 602 674 714 731 903 1011 1204 1348 1428 1462 1806 2022 2193 2359 2924 3612 4044 4386 4718 5117 5729 7077 8772 9436 10234 11458 14154 14491 15351 17187 20468 22916 28308 28982 30702 34374 40103 43473 57964 61404 68748 80206 86946 101437 120309 160412 173892 202874 240618 246347 304311 405748 481236 492694 608622 739041 985388 1217244 1478082 1724429 2956164 3448858 5173287 6897716 10346574 20693148