Search a number
-
+
410421132 = 2232111975261
BaseRepresentation
bin11000011101101…
…000011110001100
31001121021112221200
4120131220132030
51320031434012
6104420425500
713112344032
oct3035503614
91047245850
10410421132
111a0743520
12b5548290
136704ca54
143c718552
15260713dc
hex1876878c

410421132 has 72 divisors (see below), whose sum is σ = 1137728592. Its totient is φ = 123715200.

The previous prime is 410421119. The next prime is 410421149. The reversal of 410421132 is 231124014.

It is a super-2 number, since 2×4104211322 = 336891011184322848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75382 + ... + 80642.

It is an arithmetic number, because the mean of its divisors is an integer number (15801786).

Almost surely, 2410421132 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 410421132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568864296).

410421132 is an abundant number, since it is smaller than the sum of its proper divisors (727307460).

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

410421132 is a wasteful number, since it uses less digits than its factorization.

410421132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5479 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 410421132 is about 20258.8531758340. The cubic root of 410421132 is about 743.1501525783.

Adding to 410421132 its reverse (231124014), we get a palindrome (641545146).

The spelling of 410421132 in words is "four hundred ten million, four hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 197 198 394 396 591 788 1182 1773 2167 2364 3546 4334 5261 6501 7092 8668 10522 13002 15783 19503 21044 26004 31566 39006 47349 57871 63132 78012 94698 115742 173613 189396 231484 347226 520839 694452 1036417 1041678 2072834 2083356 3109251 4145668 6218502 9327753 11400587 12437004 18655506 22801174 34201761 37311012 45602348 68403522 102605283 136807044 205210566 410421132