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20848680 = 23325291997
BaseRepresentation
bin100111110001…
…0000000101000
31110020020000100
41033202000220
520314124210
62022505400
7342132216
oct117420050
943206010
1020848680
111084aa16
126b95260
13441c7c8
142aa9cb6
151c6c5c0
hex13e2028

20848680 has 96 divisors (see below), whose sum is σ = 70129800. Its totient is φ = 5365248.

The previous prime is 20848657. The next prime is 20848693. The reversal of 20848680 is 8684802.

It can be written as a sum of positive squares in 4 ways, for example, as 10850436 + 9998244 = 3294^2 + 3162^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9442 + ... + 11438.

Almost surely, 220848680 is an apocalyptic number.

20848680 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 20848680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35064900).

20848680 is an abundant number, since it is smaller than the sum of its proper divisors (49281120).

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

20848680 is a wasteful number, since it uses less digits than its factorization.

20848680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 20848680 is about 4566.0354794942. The cubic root of 20848680 is about 275.2281522602.

It can be divided in two parts, 20848 and 680, that added together give a triangular number (21528 = T207).

The spelling of 20848680 in words is "twenty million, eight hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 1997 2088 2610 3480 3994 5220 5991 7988 9985 10440 11982 15976 17973 19970 23964 29955 35946 39940 47928 57913 59910 71892 79880 89865 115826 119820 143784 173739 179730 231652 239640 289565 347478 359460 463304 521217 579130 694956 718920 868695 1042434 1158260 1389912 1737390 2084868 2316520 2606085 3474780 4169736 5212170 6949560 10424340 20848680