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20107520 = 28523683
BaseRepresentation
bin100110010110…
…1000100000000
31101211120022222
41030231010000
520121420040
61554550212
7332624336
oct114550400
941746288
1020107520
1110394094
126898368
134220354
142955b56
151b72bb5
hex132d100

20107520 has 72 divisors (see below), whose sum is σ = 50331456. Its totient is φ = 7682048.

The previous prime is 20107519. The next prime is 20107523. The reversal of 20107520 is 2570102.

It is not an unprimeable number, because it can be changed into a prime (20107523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29099 + ... + 29781.

It is an arithmetic number, because the mean of its divisors is an integer number (699048).

Almost surely, 220107520 is an apocalyptic number.

20107520 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 20107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25165728).

20107520 is an abundant number, since it is smaller than the sum of its proper divisors (30223936).

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

20107520 is an equidigital number, since it uses as much as digits as its factorization.

20107520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 20107520 is about 4484.1409433692. The cubic root of 20107520 is about 271.9273162193.

Adding to 20107520 its reverse (2570102), we get a palindrome (22677622).

The spelling of 20107520 in words is "twenty million, one hundred seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 640 683 736 920 1280 1366 1472 1840 2732 2944 3415 3680 5464 5888 6830 7360 10928 13660 14720 15709 21856 27320 29440 31418 43712 54640 62836 78545 87424 109280 125672 157090 174848 218560 251344 314180 437120 502688 628360 874240 1005376 1256720 2010752 2513440 4021504 5026880 10053760 20107520