Search a number
-
+
1474137680 = 24525497229
BaseRepresentation
bin101011111011101…
…1000111001010000
310210201211221201212
41113313120321100
511004334401210
6402135515252
751346651331
oct12767307120
93721757655
101474137680
11697126504
12351828b28
131a6538722
14ddad0288
158963b805
hex57dd8e50

1474137680 has 40 divisors (see below), whose sum is σ = 3429189000. Its totient is φ = 589342208.

The previous prime is 1474137649. The next prime is 1474137697. The reversal of 1474137680 is 867314741.

It can be written as a sum of positive squares in 4 ways, for example, as 967707664 + 506430016 = 31108^2 + 22504^2 .

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

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 7 ways as a sum of consecutive naturals, for example, 200306 + ... + 207534.

It is an arithmetic number, because the mean of its divisors is an integer number (85729725).

Almost surely, 21474137680 is an apocalyptic number.

1474137680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1474137680 is an abundant number, since it is smaller than the sum of its proper divisors (1955051320).

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

1474137680 is a wasteful number, since it uses less digits than its factorization.

1474137680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9791 (or 9785 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 1474137680 is about 38394.5006478792. The cubic root of 1474137680 is about 1138.0971847943.

The spelling of 1474137680 in words is "one billion, four hundred seventy-four million, one hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2549 5098 7229 10196 12745 14458 20392 25490 28916 36145 40784 50980 57832 72290 101960 115664 144580 203920 289160 578320 18426721 36853442 73706884 92133605 147413768 184267210 294827536 368534420 737068840 1474137680