Search a number
-
+
210124352 = 26171511279
BaseRepresentation
bin11001000011000…
…11111001000000
3112122101102102102
430201203321000
5412242434402
632503405532
75131012304
oct1441437100
9478342372
10210124352
11a8678599
125a4538a8
13346c0649
141dc99d04
15136a9102
hexc863e40

210124352 has 56 divisors (see below), whose sum is σ = 444764160. Its totient is φ = 98150400.

The previous prime is 210124349. The next prime is 210124361. The reversal of 210124352 is 253421012.

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 7 ways as a sum of consecutive naturals, for example, 163649 + ... + 164927.

Almost surely, 2210124352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210124352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222382080).

210124352 is an abundant number, since it is smaller than the sum of its proper divisors (234639808).

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

210124352 is a wasteful number, since it uses less digits than its factorization.

210124352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 210124352 is about 14495.6666628341. Note that the first 5 decimals coincide. The cubic root of 210124352 is about 594.5094957107.

Adding to 210124352 its reverse (253421012), we get a palindrome (463545364).

The spelling of 210124352 in words is "two hundred ten million, one hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 151 272 302 544 604 1088 1208 1279 2416 2558 2567 4832 5116 5134 9664 10232 10268 20464 20536 21743 40928 41072 43486 81856 82144 86972 164288 173944 193129 347888 386258 695776 772516 1391552 1545032 3090064 3283193 6180128 6566386 12360256 13132772 26265544 52531088 105062176 210124352