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1048968 = 233217857
BaseRepresentation
bin100000000000110001000
31222021220200
410000012020
5232031333
634252200
711626134
oct4000610
91867820
101048968
11657118
12427060
132a95bb
141d43c4
1515ac13
hex100188

1048968 has 48 divisors (see below), whose sum is σ = 3011580. Its totient is φ = 328704.

The previous prime is 1048963. The next prime is 1048991. The reversal of 1048968 is 8698401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 887364 + 161604 = 942^2 + 402^2 .

It is a super-2 number, since 2×10489682 = 2200667730048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1048963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 796 + ... + 1652.

21048968 is an apocalyptic number.

1048968 is a gapful number since it is divisible by the number (18) 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 1048968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505790).

1048968 is an abundant number, since it is smaller than the sum of its proper divisors (1962612).

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

1048968 is a wasteful number, since it uses less digits than its factorization.

1048968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1048968 is about 1024.1913883645. The cubic root of 1048968 is about 101.6063256855.

It can be divided in two parts, 1048 and 968, that added together give a triangular number (2016 = T63).

The spelling of 1048968 in words is "one million, forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 857 1224 1714 2571 3428 5142 6856 7713 10284 14569 15426 20568 29138 30852 43707 58276 61704 87414 116552 131121 174828 262242 349656 524484 1048968