Search a number
-
+
1442405460 = 2235171414123
BaseRepresentation
bin101010111111001…
…0101110001010100
310201112010210022110
41111332111301110
510423223433320
6355043431020
750513146506
oct12576256124
93645123273
101442405460
11680222631
12343085470
1319caa8172
14d97cdd76
158696e5e0
hex55f95c54

1442405460 has 48 divisors (see below), whose sum is σ = 4276310976. Its totient is φ = 362015232.

The previous prime is 1442405453. The next prime is 1442405527. The reversal of 1442405460 is 645042441.

It is a happy number.

It is a super-2 number, since 2×14424054602 = 4161067022075623200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706042 + ... + 708081.

It is an arithmetic number, because the mean of its divisors is an integer number (89089812).

Almost surely, 21442405460 is an apocalyptic number.

1442405460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442405460 is an abundant number, since it is smaller than the sum of its proper divisors (2833905516).

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

1442405460 is a wasteful number, since it uses less digits than its factorization.

1442405460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414152 (or 1414150 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 1442405460 is about 37979.0134153061. The cubic root of 1442405460 is about 1129.8716694529.

The spelling of 1442405460 in words is "one billion, four hundred forty-two million, four hundred five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1414123 2828246 4242369 5656492 7070615 8484738 14141230 16969476 21211845 24040091 28282460 42423690 48080182 72120273 84847380 96160364 120200455 144240546 240400910 288481092 360601365 480801820 721202730 1442405460