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20313280 = 2651319257
BaseRepresentation
bin100110101111…
…1010011000000
31102020000120201
41031133103000
520200011110
62003214544
7334442251
oct115372300
942200521
1020313280
1110514739
126977454
134292bc0
1429aab28
151bb3b3a
hex135f4c0

20313280 has 112 divisors (see below), whose sum is σ = 55046880. Its totient is φ = 7077888.

The previous prime is 20313247. The next prime is 20313281. The reversal of 20313280 is 8231302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20313281) 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, 78912 + ... + 79168.

It is an arithmetic number, because the mean of its divisors is an integer number (491490).

Almost surely, 220313280 is an apocalyptic number.

20313280 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 20313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27523440).

20313280 is an abundant number, since it is smaller than the sum of its proper divisors (34733600).

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

20313280 is a wasteful number, since it uses less digits than its factorization.

20313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 20313280 is about 4507.0256267299. The cubic root of 20313280 is about 272.8517131778.

Adding to 20313280 its reverse (8231302), we get a palindrome (28544582).

The spelling of 20313280 in words is "twenty million, three hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 130 152 160 190 208 247 257 260 304 320 380 416 494 514 520 608 760 832 988 1028 1040 1216 1235 1285 1520 1976 2056 2080 2470 2570 3040 3341 3952 4112 4160 4883 4940 5140 6080 6682 7904 8224 9766 9880 10280 13364 15808 16448 16705 19532 19760 20560 24415 26728 33410 39064 39520 41120 48830 53456 63479 66820 78128 79040 82240 97660 106912 126958 133640 156256 195320 213824 253916 267280 312512 317395 390640 507832 534560 634790 781280 1015664 1069120 1269580 1562560 2031328 2539160 4062656 5078320 10156640 20313280