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20756988 = 223273412
BaseRepresentation
bin100111100101…
…1100111111100
31110001120020100
41033023213330
520303210423
62020521100
7341301000
oct117134774
943046210
1020756988
111079803a
126b50190
1343b9b55
142a84700
151c50343
hex13cb9fc

20756988 has 108 divisors (see below), whose sum is σ = 62717200. Its totient is φ = 5785920.

The previous prime is 20756977. The next prime is 20756993. The reversal of 20756988 is 88965702.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

20756988 is a `hidden beast` number, since 2 + 0 + 7 + 569 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 506248 + ... + 506288.

Almost surely, 220756988 is an apocalyptic number.

20756988 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 20756988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31358600).

20756988 is an abundant number, since it is smaller than the sum of its proper divisors (41960212).

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

20756988 is a wasteful number, since it uses less digits than its factorization.

20756988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 20756988 is about 4555.9837576532. The cubic root of 20756988 is about 274.8240770142.

The spelling of 20756988 in words is "twenty million, seven hundred fifty-six thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 49 63 82 84 98 123 126 147 164 196 246 252 287 294 343 369 441 492 574 588 686 738 861 882 1029 1148 1372 1476 1681 1722 1764 2009 2058 2583 3087 3362 3444 4018 4116 5043 5166 6027 6174 6724 8036 10086 10332 11767 12054 12348 14063 15129 18081 20172 23534 24108 28126 30258 35301 36162 42189 47068 56252 60516 70602 72324 82369 84378 105903 126567 141204 164738 168756 211806 247107 253134 329476 423612 494214 506268 576583 741321 988428 1153166 1482642 1729749 2306332 2965284 3459498 5189247 6918996 10378494 20756988