Search a number
-
+
1020046404 = 2231331720627
BaseRepresentation
bin111100110011001…
…010110001000100
32122002101201121110
4330303022301010
54042112441104
6245115045020
734164152136
oct7463126104
92562351543
101020046404
11483875a63
12245740770
13133438770
1499689056
155e840e89
hex3cccac44

1020046404 has 48 divisors (see below), whose sum is σ = 2571403968. Its totient is φ = 312855168.

The previous prime is 1020046403. The next prime is 1020046411. The reversal of 1020046404 is 4046400201.

It is not an unprimeable number, because it can be changed into a prime (1020046403) 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, 39139 + ... + 59765.

It is an arithmetic number, because the mean of its divisors is an integer number (53570916).

Almost surely, 21020046404 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 1020046404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285701984).

1020046404 is an abundant number, since it is smaller than the sum of its proper divisors (1551357564).

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

1020046404 is a wasteful number, since it uses less digits than its factorization.

1020046404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20964 (or 20962 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1020046404 is about 31938.1653198802. The cubic root of 1020046404 is about 1006.6379744660.

Adding to 1020046404 its reverse (4046400201), we get a palindrome (5066446605).

The spelling of 1020046404 in words is "one billion, twenty million, forty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 317 634 951 1268 1902 3804 4121 8242 12363 16484 20627 24726 41254 49452 61881 82508 123762 247524 268151 536302 804453 1072604 1608906 3217812 6538759 13077518 19616277 26155036 39232554 78465108 85003867 170007734 255011601 340015468 510023202 1020046404