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1420441152 = 263131274481
BaseRepresentation
bin101010010101010…
…0011011001000000
310122222210212221120
41110222203121000
510402113104102
6352540552240
750125356564
oct12452433100
93588725846
101420441152
11669890509
12337852680
13198387930
14d69136a4
1584a816bc
hex54aa3640

1420441152 has 112 divisors (see below), whose sum is σ = 4080125952. Its totient is φ = 433520640.

The previous prime is 1420441151. The next prime is 1420441163. The reversal of 1420441152 is 2511440241.

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

It is not an unprimeable number, because it can be changed into a prime (1420441151) 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, 314752 + ... + 319232.

It is an arithmetic number, because the mean of its divisors is an integer number (36429696).

Almost surely, 21420441152 is an apocalyptic number.

1420441152 is a gapful number since it is divisible by the number (12) 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 1420441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040062976).

1420441152 is an abundant number, since it is smaller than the sum of its proper divisors (2659684800).

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

1420441152 is a wasteful number, since it uses less digits than its factorization.

1420441152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4636 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1420441152 is about 37688.7403875481. The cubic root of 1420441152 is about 1124.1072494682.

Adding to 1420441152 its reverse (2511440241), we get a palindrome (3931881393).

The spelling of 1420441152 in words is "one billion, four hundred twenty million, four hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 127 156 192 208 254 312 381 416 508 624 762 832 1016 1248 1524 1651 2032 2496 3048 3302 4064 4481 4953 6096 6604 8128 8962 9906 12192 13208 13443 17924 19812 24384 26416 26886 35848 39624 52832 53772 58253 71696 79248 105664 107544 116506 143392 158496 174759 215088 233012 286784 316992 349518 430176 466024 569087 699036 860352 932048 1138174 1398072 1707261 1864096 2276348 2796144 3414522 3728192 4552696 5592288 6829044 7398131 9105392 11184576 13658088 14796262 18210784 22194393 27316176 29592524 36421568 44388786 54632352 59185048 88777572 109264704 118370096 177555144 236740192 355110288 473480384 710220576 1420441152