Search a number
-
+
1316640 = 253513211
BaseRepresentation
bin101000001011100100000
32110220002110
411001130200
5314113030
644115320
714122413
oct5013440
92426073
101316640
1181a236
12535b40
133713a0
14263b7a
151b01b0
hex141720

1316640 has 96 divisors (see below), whose sum is σ = 4487616. Its totient is φ = 322560.

The previous prime is 1316639. The next prime is 1316647. The reversal of 1316640 is 466131.

1316640 = T170 + T171 + ... + T233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6135 + ... + 6345.

It is an arithmetic number, because the mean of its divisors is an integer number (46746).

21316640 is an apocalyptic number.

1316640 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 1316640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243808).

1316640 is an abundant number, since it is smaller than the sum of its proper divisors (3170976).

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

1316640 is a wasteful number, since it uses less digits than its factorization.

1316640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1316640 is about 1147.4493452872. The cubic root of 1316640 is about 109.6029764585.

It can be divided in two parts, 13 and 16640, that added together give a triangular number (16653 = T182).

The spelling of 1316640 in words is "one million, three hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 211 240 260 312 390 416 422 480 520 624 633 780 844 1040 1055 1248 1266 1560 1688 2080 2110 2532 2743 3120 3165 3376 4220 5064 5486 6240 6330 6752 8229 8440 10128 10972 12660 13715 16458 16880 20256 21944 25320 27430 32916 33760 41145 43888 50640 54860 65832 82290 87776 101280 109720 131664 164580 219440 263328 329160 438880 658320 1316640