Search a number
-
+
416673680 = 2455208421
BaseRepresentation
bin11000110101011…
…110111110010000
31002001001012211112
4120311132332100
51323132024210
6105202432452
713216445033
oct3065367620
91061035745
10416673680
111a4224115
12b7662728
136842b997
143d4a501a
15268a8d05
hex18d5ef90

416673680 has 20 divisors (see below), whose sum is σ = 968766492. Its totient is φ = 166669440.

The previous prime is 416673671. The next prime is 416673701. The reversal of 416673680 is 86376614.

It can be written as a sum of positive squares in 2 ways, for example, as 161696656 + 254977024 = 12716^2 + 15968^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2604131 + ... + 2604290.

Almost surely, 2416673680 is an apocalyptic number.

416673680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416673680 is an abundant number, since it is smaller than the sum of its proper divisors (552092812).

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

416673680 is a wasteful number, since it uses less digits than its factorization.

416673680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5208434 (or 5208428 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 416673680 is about 20412.5863133509. The cubic root of 416673680 is about 746.9049816807.

The spelling of 416673680 in words is "four hundred sixteen million, six hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5208421 10416842 20833684 26042105 41667368 52084210 83334736 104168420 208336840 416673680