Search a number
-
+
1020460 = 225737197
BaseRepresentation
bin11111001001000101100
31220211210211
43321020230
5230123320
633512204
711450050
oct3711054
91824724
101020460
11637761
12412664
1329962c
141c7c60
1515255a
hexf922c

1020460 has 48 divisors (see below), whose sum is σ = 2528064. Its totient is φ = 338688.

The previous prime is 1020457. The next prime is 1020491. The reversal of 1020460 is 640201.

1020460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10204602 = 2082677223200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1020460.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5082 + ... + 5278.

It is an arithmetic number, because the mean of its divisors is an integer number (52668).

21020460 is an apocalyptic number.

1020460 is a gapful number since it is divisible by the number (10) 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 1020460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264032).

1020460 is an abundant number, since it is smaller than the sum of its proper divisors (1507604).

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

1020460 is a wasteful number, since it uses less digits than its factorization.

1020460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1020460 is about 1010.1782021010. The cubic root of 1020460 is about 100.6774009186.

Adding to 1020460 its reverse (640201), we get a palindrome (1660661).

The spelling of 1020460 in words is "one million, twenty thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 197 259 370 394 518 740 788 985 1036 1295 1379 1970 2590 2758 3940 5180 5516 6895 7289 13790 14578 27580 29156 36445 51023 72890 102046 145780 204092 255115 510230 1020460