Search a number
-
+
420720 = 24351753
BaseRepresentation
bin1100110101101110000
3210101010020
41212231300
5101430340
613003440
73401406
oct1465560
9711106
10420720
11268103
12183580
13119661
14ad476
15849d0
hex66b70

420720 has 40 divisors (see below), whose sum is σ = 1304976. Its totient is φ = 112128.

The previous prime is 420691. The next prime is 420731. The reversal of 420720 is 27024.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 420720.

It is a congruent number.

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, 637 + ... + 1116.

2420720 is an apocalyptic number.

420720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420720 is an abundant number, since it is smaller than the sum of its proper divisors (884256).

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

420720 is a wasteful number, since it uses less digits than its factorization.

420720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 420720 is about 648.6293240365. The cubic root of 420720 is about 74.9314929985.

Adding to 420720 its reverse (27024), we get a palindrome (447744).

The spelling of 420720 in words is "four hundred twenty thousand, seven hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1753 3506 5259 7012 8765 10518 14024 17530 21036 26295 28048 35060 42072 52590 70120 84144 105180 140240 210360 420720