Search a number
-
+
20907720 = 23375239
BaseRepresentation
bin100111111000…
…0011011001000
31110100020000000
41033300123020
520323021340
62024043000
7342466311
oct117603310
943306000
1020907720
1110890309
127003460
134440642
142ac3608
151c7ed30
hex13f06c8

20907720 has 128 divisors (see below), whose sum is σ = 70848000. Its totient is φ = 5552064.

The previous prime is 20907709. The next prime is 20907727. The reversal of 20907720 is 2770902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20907727) 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, 87361 + ... + 87599.

It is an arithmetic number, because the mean of its divisors is an integer number (553500).

Almost surely, 220907720 is an apocalyptic number.

20907720 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 20907720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35424000).

20907720 is an abundant number, since it is smaller than the sum of its proper divisors (49940280).

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

20907720 is an equidigital number, since it uses as much as digits as its factorization.

20907720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 20907720 is about 4572.4960360836. The cubic root of 20907720 is about 275.4877075509.

The spelling of 20907720 in words is "twenty million, nine hundred seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 239 243 270 324 360 405 478 486 540 648 717 729 810 956 972 1080 1195 1215 1434 1458 1620 1912 1944 2151 2187 2390 2430 2868 2916 3240 3585 3645 4302 4374 4780 4860 5736 5832 6453 7170 7290 8604 8748 9560 9720 10755 10935 12906 14340 14580 17208 17496 19359 21510 21870 25812 28680 29160 32265 38718 43020 43740 51624 58077 64530 77436 86040 87480 96795 116154 129060 154872 174231 193590 232308 258120 290385 348462 387180 464616 522693 580770 696924 774360 871155 1045386 1161540 1393848 1742310 2090772 2323080 2613465 3484620 4181544 5226930 6969240 10453860 20907720