Search a number
-
+
1420427440 = 24531601953
BaseRepresentation
bin101010010101010…
…0000000010110000
310122222210012010201
41110222200002300
510402112134230
6352540404544
750125301605
oct12452400260
93588705121
101420427440
11669881183
12337846754
13198381613
14d690c6ac
1584a7c5ca
hex54aa00b0

1420427440 has 80 divisors (see below), whose sum is σ = 3418281216. Its totient is φ = 548352000.

The previous prime is 1420427387. The next prime is 1420427443. The reversal of 1420427440 is 447240241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14204274402 = 4035228224609907200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1420427399 and 1420427408.

It is not an unprimeable number, because it can be changed into a prime (1420427443) 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, 1490004 + ... + 1490956.

Almost surely, 21420427440 is an apocalyptic number.

1420427440 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 1420427440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709140608).

1420427440 is an abundant number, since it is smaller than the sum of its proper divisors (1997853776).

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

1420427440 is a wasteful number, since it uses less digits than its factorization.

1420427440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The square root of 1420427440 is about 37688.5584760150. The cubic root of 1420427440 is about 1124.1036323271.

Adding to 1420427440 its reverse (447240241), we get a palindrome (1867667681).

The spelling of 1420427440 in words is "one billion, four hundred twenty million, four hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 601 620 953 1202 1240 1906 2404 2480 3005 3812 4765 4808 6010 7624 9530 9616 12020 15248 18631 19060 24040 29543 37262 38120 48080 59086 74524 76240 93155 118172 147715 149048 186310 236344 295430 298096 372620 472688 572753 590860 745240 1145506 1181720 1490480 2291012 2363440 2863765 4582024 5727530 9164048 11455060 17755343 22910120 35510686 45820240 71021372 88776715 142042744 177553430 284085488 355106860 710213720 1420427440