Search a number
-
+
1310240 = 25519431
BaseRepresentation
bin100111111111000100000
32110120022102
410333320200
5313411430
644025532
714064641
oct4777040
92416272
101310240
11815448
125322a8
1336b4b9
142616c8
151ad345
hex13fe20

1310240 has 48 divisors (see below), whose sum is σ = 3265920. Its totient is φ = 495360.

The previous prime is 1310233. The next prime is 1310251. The reversal of 1310240 is 420131.

1310240 = T91 + T92 + ... + T204.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2825 + ... + 3255.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

21310240 is an apocalyptic number.

1310240 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 1310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632960).

1310240 is an abundant number, since it is smaller than the sum of its proper divisors (1955680).

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

1310240 is a wasteful number, since it uses less digits than its factorization.

1310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1310240 is about 1144.6571539112. The cubic root of 1310240 is about 109.4250997691.

Adding to 1310240 its reverse (420131), we get a palindrome (1730371).

The spelling of 1310240 in words is "one million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 431 608 760 862 1520 1724 2155 3040 3448 4310 6896 8189 8620 13792 16378 17240 32756 34480 40945 65512 68960 81890 131024 163780 262048 327560 655120 1310240