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20738480 = 2457291277
BaseRepresentation
bin100111100011…
…1000110110000
31110000121211212
41033013012300
520302112410
62020255252
7341163020
oct117070660
943017755
1020738480
1110785144
126b41528
1343b15b9
142a7ba80
151c49b05
hex13c71b0

20738480 has 80 divisors (see below), whose sum is σ = 57049920. Its totient is φ = 6859776.

The previous prime is 20738467. The next prime is 20738483. The reversal of 20738480 is 8483702.

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 (20738483) 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, 15602 + ... + 16878.

It is an arithmetic number, because the mean of its divisors is an integer number (713124).

Almost surely, 220738480 is an apocalyptic number.

20738480 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 20738480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28524960).

20738480 is an abundant number, since it is smaller than the sum of its proper divisors (36311440).

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

20738480 is a wasteful number, since it uses less digits than its factorization.

20738480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 20738480 is about 4553.9521297440. The cubic root of 20738480 is about 274.7423702890.

The spelling of 20738480 in words is "twenty million, seven hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1277 1624 2030 2320 2554 3248 4060 5108 6385 8120 8939 10216 12770 16240 17878 20432 25540 35756 37033 44695 51080 71512 74066 89390 102160 143024 148132 178780 185165 259231 296264 357560 370330 518462 592528 715120 740660 1036924 1296155 1481320 2073848 2592310 2962640 4147696 5184620 10369240 20738480