Search a number
-
+
1442810960 = 24554732971
BaseRepresentation
bin101010111111111…
…1000110001010000
310201112220101112222
41111333320301100
510423324422320
6355100240212
750516455643
oct12577706120
93645811488
101442810960
1168047a258
12343240068
1319cbba8c6
14d9897a5a
15869ee825
hex55ff8c50

1442810960 has 40 divisors (see below), whose sum is σ = 3360770016. Its totient is φ = 576051840.

The previous prime is 1442810933. The next prime is 1442810969. The reversal of 1442810960 is 690182441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×14428109602 = 4163406932592243200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1442810960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442810969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 27275 + ... + 60245.

Almost surely, 21442810960 is an apocalyptic number.

1442810960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442810960 is an abundant number, since it is smaller than the sum of its proper divisors (1917959056).

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

1442810960 is a wasteful number, since it uses less digits than its factorization.

1442810960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33531 (or 33525 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 1442810960 is about 37984.3515148015. The cubic root of 1442810960 is about 1129.9775389067.

The spelling of 1442810960 in words is "one billion, four hundred forty-two million, eight hundred ten thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 547 1094 2188 2735 4376 5470 8752 10940 21880 32971 43760 65942 131884 164855 263768 329710 527536 659420 1318840 2637680 18035137 36070274 72140548 90175685 144281096 180351370 288562192 360702740 721405480 1442810960