Search a number
-
+
1960068 = 2231131479
BaseRepresentation
bin111011110100010000100
310200120201010
413132202010
51000210233
6110002220
722442325
oct7364204
93616633
101960068
1111196a0
127a6370
13538206
1439044c
1528ab63
hex1de884

1960068 has 48 divisors (see below), whose sum is σ = 5160960. Its totient is φ = 573600.

The previous prime is 1960067. The next prime is 1960093. The reversal of 1960068 is 8600691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1960061) 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, 3853 + ... + 4331.

It is an arithmetic number, because the mean of its divisors is an integer number (107520).

21960068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1960068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580480).

1960068 is an abundant number, since it is smaller than the sum of its proper divisors (3200892).

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

1960068 is a wasteful number, since it uses less digits than its factorization.

1960068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1960068 is about 1400.0242855036. The cubic root of 1960068 is about 125.1479421692.

It can be divided in two parts, 1 and 960068, that added together give a palindrome (960069).

The spelling of 1960068 in words is "one million, nine hundred sixty thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 479 682 958 1023 1364 1437 1916 2046 2874 4092 5269 5748 10538 14849 15807 21076 29698 31614 44547 59396 63228 89094 163339 178188 326678 490017 653356 980034 1960068