Search a number
-
+
496720 = 2457887
BaseRepresentation
bin1111001010001010000
3221020101001
41321101100
5111343340
614351344
74136110
oct1712120
9836331
10496720
1130a214
121bb554
13145123
14cd040
159c29a
hex79450

496720 has 40 divisors (see below), whose sum is σ = 1321344. Its totient is φ = 170112.

The previous prime is 496711. The next prime is 496733. The reversal of 496720 is 27694.

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 (28).

It is a congruent number.

It is an unprimeable number.

496720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117 + ... + 1003.

2496720 is an apocalyptic number.

496720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660672).

496720 is an abundant number, since it is smaller than the sum of its proper divisors (824624).

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

496720 is a wasteful number, since it uses less digits than its factorization.

496720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 496720 is about 704.7836547480. The cubic root of 496720 is about 79.1961158521.

The spelling of 496720 in words is "four hundred ninety-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 887 1774 3548 4435 6209 7096 8870 12418 14192 17740 24836 31045 35480 49672 62090 70960 99344 124180 248360 496720