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20303760 = 2435312729
BaseRepresentation
bin100110101110…
…0111110010000
31102012112112010
41031130332100
520144210020
62003102520
7334402431
oct115347620
942175463
1020303760
1110508574
126971a40
13428b779
1429a7488
151bb0de0
hex135cf90

20303760 has 80 divisors (see below), whose sum is σ = 64995840. Its totient is φ = 5237760.

The previous prime is 20303719. The next prime is 20303807. The reversal of 20303760 is 6730302.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6076 + ... + 8804.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 220303760 is an apocalyptic number.

20303760 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 20303760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497920).

20303760 is an abundant number, since it is smaller than the sum of its proper divisors (44692080).

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

20303760 is a wasteful number, since it uses less digits than its factorization.

20303760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 20303760 is about 4505.9693740637. The cubic root of 20303760 is about 272.8090817202.

The spelling of 20303760 in words is "twenty million, three hundred three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 2729 3720 5458 7440 8187 10916 13645 16374 21832 27290 32748 40935 43664 54580 65496 81870 84599 109160 130992 163740 169198 218320 253797 327480 338396 422995 507594 654960 676792 845990 1015188 1268985 1353584 1691980 2030376 2537970 3383960 4060752 5075940 6767920 10151880 20303760