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210000032 = 25114114551
BaseRepresentation
bin11001000010001…
…01100010100000
3112122011002212222
430201011202200
5412230000112
632501010212
75126653664
oct1441054240
9478132788
10210000032
11a85a3150
125a3b3968
1334678b98
141dc668a4
1513682372
hexc8458a0

210000032 has 48 divisors (see below), whose sum is σ = 462055104. Its totient is φ = 93120000.

The previous prime is 210000023. The next prime is 210000047. The reversal of 210000032 is 230000012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 209999974 and 210000019.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7157 + ... + 21707.

It is an arithmetic number, because the mean of its divisors is an integer number (9626148).

Almost surely, 2210000032 is an apocalyptic number.

210000032 is a gapful number since it is divisible by the number (22) 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 210000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231027552).

210000032 is an abundant number, since it is smaller than the sum of its proper divisors (252055072).

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

210000032 is a wasteful number, since it uses less digits than its factorization.

210000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14613 (or 14605 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 210000032 is about 14491.3778502943. The cubic root of 210000032 is about 594.3922254677.

Adding to 210000032 its reverse (230000012), we get a palindrome (440000044).

The spelling of 210000032 in words is "two hundred ten million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 1312 1804 3608 7216 14432 14551 29102 58204 116408 160061 232816 320122 465632 596591 640244 1193182 1280488 2386364 2560976 4772728 5121952 6562501 9545456 13125002 19090912 26250004 52500008 105000016 210000032