Search a number
-
+
1423561640 = 2351717312101
BaseRepresentation
bin101010011011001…
…1101001110101000
310200012200102110012
41110312131032220
510403412433030
6353131511052
750164034324
oct12466351650
93605612405
101423561640
11670621a26
123388b8488
13198c0b087
14d70c6984
1584e9b095
hex54d9d3a8

1423561640 has 64 divisors (see below), whose sum is σ = 3411311760. Its totient is φ = 532787200.

The previous prime is 1423561627. The next prime is 1423561649. The reversal of 1423561640 is 461653241.

It can be written as a sum of positive squares in 8 ways, for example, as 1413308836 + 10252804 = 37594^2 + 3202^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1423561597 and 1423561606.

It is not an unprimeable number, because it can be changed into a prime (1423561649) 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, 111590 + ... + 123690.

Almost surely, 21423561640 is an apocalyptic number.

1423561640 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 1423561640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705655880).

1423561640 is an abundant number, since it is smaller than the sum of its proper divisors (1987750120).

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

1423561640 is a wasteful number, since it uses less digits than its factorization.

1423561640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12302 (or 12298 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 1423561640 is about 37730.1158227748. The cubic root of 1423561640 is about 1124.9298102711.

The spelling of 1423561640 in words is "one billion, four hundred twenty-three million, five hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 173 340 346 680 692 865 1384 1730 2941 3460 5882 6920 11764 12101 14705 23528 24202 29410 48404 58820 60505 96808 117640 121010 205717 242020 411434 484040 822868 1028585 1645736 2057170 2093473 4114340 4186946 8228680 8373892 10467365 16747784 20934730 35589041 41869460 71178082 83738920 142356164 177945205 284712328 355890410 711780820 1423561640