Search a number
-
+
1006260 = 223531541
BaseRepresentation
bin11110101101010110100
31220010022220
43311222310
5224200020
633322340
711360463
oct3655264
91803286
101006260
11628022
124063b0
13293028
141c29da
1514d240
hexf5ab4

1006260 has 48 divisors (see below), whose sum is σ = 2913792. Its totient is φ = 259200.

The previous prime is 1006253. The next prime is 1006267. The reversal of 1006260 is 626001.

It is an interprime number because it is at equal distance from previous prime (1006253) and next prime (1006267).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1590 + ... + 2130.

It is an arithmetic number, because the mean of its divisors is an integer number (60704).

21006260 is an apocalyptic number.

1006260 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 1006260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456896).

1006260 is an abundant number, since it is smaller than the sum of its proper divisors (1907532).

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

1006260 is a wasteful number, since it uses less digits than its factorization.

1006260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1006260 is about 1003.1251168224. The cubic root of 1006260 is about 100.2082327569.

The spelling of 1006260 in words is "one million, six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 541 620 930 1082 1623 1860 2164 2705 3246 5410 6492 8115 10820 16230 16771 32460 33542 50313 67084 83855 100626 167710 201252 251565 335420 503130 1006260