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20797520 = 2452389127
BaseRepresentation
bin100111101010…
…1100001010000
31110010121211112
41033111201100
520311010040
62021432452
7341530112
oct117254120
943117745
1020797520
1110815537
126b6b728
134402433
142a953b2
151c5c365
hex13d5850

20797520 has 80 divisors (see below), whose sum is σ = 51425280. Its totient is φ = 7805952.

The previous prime is 20797507. The next prime is 20797531. The reversal of 20797520 is 2579702.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163697 + ... + 163823.

It is an arithmetic number, because the mean of its divisors is an integer number (642816).

Almost surely, 220797520 is an apocalyptic number.

20797520 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 20797520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25712640).

20797520 is an abundant number, since it is smaller than the sum of its proper divisors (30627760).

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

20797520 is a wasteful number, since it uses less digits than its factorization.

20797520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 20797520 is about 4560.4298043057. The cubic root of 20797520 is about 275.0028429458.

The spelling of 20797520 in words is "twenty million, seven hundred ninety-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 89 92 115 127 178 184 230 254 356 368 445 460 508 635 712 890 920 1016 1270 1424 1780 1840 2032 2047 2540 2921 3560 4094 5080 5842 7120 8188 10160 10235 11303 11684 14605 16376 20470 22606 23368 29210 32752 40940 45212 46736 56515 58420 81880 90424 113030 116840 163760 180848 226060 233680 259969 452120 519938 904240 1039876 1299845 2079752 2599690 4159504 5199380 10398760 20797520