Search a number
-
+
420581268 = 22335636917
BaseRepresentation
bin11001000100011…
…000111110010100
31002022101202001000
4121010120332110
51330132100033
6105422303300
713264611312
oct3104307624
91068352030
10420581268
111a6452a28
12b8a27b30
1369199473
143dc010b2
1526dcba13
hex19118f94

420581268 has 48 divisors (see below), whose sum is σ = 1092490560. Its totient is φ = 139924512.

The previous prime is 420581221. The next prime is 420581279. The reversal of 420581268 is 862185024.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57346 + ... + 64262.

It is an arithmetic number, because the mean of its divisors is an integer number (22760220).

Almost surely, 2420581268 is an apocalyptic number.

It is an amenable number.

420581268 is an abundant number, since it is smaller than the sum of its proper divisors (671909292).

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

420581268 is a wasteful number, since it uses less digits than its factorization.

420581268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7493 (or 7485 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 420581268 is about 20508.0781157085. The cubic root of 420581268 is about 749.2325589802.

The spelling of 420581268 in words is "four hundred twenty million, five hundred eighty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 563 1126 1689 2252 3378 5067 6756 6917 10134 13834 15201 20268 20751 27668 30402 41502 60804 62253 83004 124506 186759 249012 373518 747036 3894271 7788542 11682813 15577084 23365626 35048439 46731252 70096878 105145317 140193756 210290634 420581268