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163212520 = 23531433061
BaseRepresentation
bin10011011101001…
…10110011101000
3102101010001111011
421232212303220
5313240300040
624110113304
74021166152
oct1156466350
9371101434
10163212520
1184146a89
12467ab834
1327a76a73
1417967ad2
15e4de3ea
hex9ba6ce8

163212520 has 64 divisors (see below), whose sum is σ = 388016640. Its totient is φ = 61689600.

The previous prime is 163212503. The next prime is 163212521. The reversal of 163212520 is 25212361.

It is a junction number, because it is equal to n+sod(n) for n = 163212491 and 163212500.

It is not an unprimeable number, because it can be changed into a prime (163212521) 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, 51790 + ... + 54850.

It is an arithmetic number, because the mean of its divisors is an integer number (6062760).

Almost surely, 2163212520 is an apocalyptic number.

163212520 is a gapful number since it is divisible by the number (10) 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 163212520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194008320).

163212520 is an abundant number, since it is smaller than the sum of its proper divisors (224804120).

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

163212520 is a wasteful number, since it uses less digits than its factorization.

163212520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 163212520 is about 12775.4655492471. The cubic root of 163212520 is about 546.4928573624.

Adding to 163212520 its reverse (25212361), we get a palindrome (188424881).

The spelling of 163212520 in words is "one hundred sixty-three million, two hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 43 62 86 124 155 172 215 248 310 344 430 620 860 1240 1333 1720 2666 3061 5332 6122 6665 10664 12244 13330 15305 24488 26660 30610 53320 61220 94891 122440 131623 189782 263246 379564 474455 526492 658115 759128 948910 1052984 1316230 1897820 2632460 3795640 4080313 5264920 8160626 16321252 20401565 32642504 40803130 81606260 163212520