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20696880 = 2435831039
BaseRepresentation
bin100111011110…
…0111100110000
31102221111210010
41032330330300
520244300010
62015334520
7340630521
oct116747460
942844703
1020696880
1110756966
126b21440
134398699
142a6a848
151c3c620
hex13bcf30

20696880 has 80 divisors (see below), whose sum is σ = 64995840. Its totient is φ = 5447424.

The previous prime is 20696869. The next prime is 20696881. The reversal of 20696880 is 8869602.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (20696881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19401 + ... + 20439.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 220696880 is an apocalyptic number.

20696880 is a gapful number since it is divisible by the number (20) 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 20696880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497920).

20696880 is an abundant number, since it is smaller than the sum of its proper divisors (44298960).

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

20696880 is a wasteful number, since it uses less digits than its factorization.

20696880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 20696880 is about 4549.3823756638. The cubic root of 20696880 is about 274.5585423959.

The spelling of 20696880 in words is "twenty million, six hundred ninety-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1039 1245 1328 1660 1992 2078 2490 3117 3320 3984 4156 4980 5195 6234 6640 8312 9960 10390 12468 15585 16624 19920 20780 24936 31170 41560 49872 62340 83120 86237 124680 172474 249360 258711 344948 431185 517422 689896 862370 1034844 1293555 1379792 1724740 2069688 2587110 3449480 4139376 5174220 6898960 10348440 20696880