Search a number
-
+
1072680 = 233571277
BaseRepresentation
bin100000101111000101000
32000111102220
410011320220
5233311210
634554040
712055230
oct4057050
92014386
101072680
11672a14
12438920
132b732b
141dccc0
15162c70
hex105e28

1072680 has 64 divisors (see below), whose sum is σ = 3680640. Its totient is φ = 244992.

The previous prime is 1072657. The next prime is 1072711. The reversal of 1072680 is 862701.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1072680.

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, 202 + ... + 1478.

It is an arithmetic number, because the mean of its divisors is an integer number (57510).

21072680 is an apocalyptic number.

1072680 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 1072680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840320).

1072680 is an abundant number, since it is smaller than the sum of its proper divisors (2607960).

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

1072680 is a wasteful number, since it uses less digits than its factorization.

1072680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1072680 is about 1035.7026600333. The cubic root of 1072680 is about 102.3662343914.

The spelling of 1072680 in words is "one million, seventy-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1277 2554 3831 5108 6385 7662 8939 10216 12770 15324 17878 19155 25540 26817 30648 35756 38310 44695 51080 53634 71512 76620 89390 107268 134085 153240 178780 214536 268170 357560 536340 1072680