Search a number
-
+
1288380 = 2235109197
BaseRepresentation
bin100111010100010111100
32102110022210
410322202330
5312212010
643340420
713644132
oct4724274
92373283
101288380
117aaa85
12521710
13361572
14257752
151a6b20
hex13a8bc

1288380 has 48 divisors (see below), whose sum is σ = 3659040. Its totient is φ = 338688.

The previous prime is 1288367. The next prime is 1288393. The reversal of 1288380 is 838821.

1288380 = T96 + T97 + ... + T204.

1288380 is nontrivially palindromic in base 8 and base 14.

It is an interprime number because it is at equal distance from previous prime (1288367) and next prime (1288393).

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

It is an Ulam number.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 6442 + ... + 6638.

It is an arithmetic number, because the mean of its divisors is an integer number (76230).

21288380 is an apocalyptic number.

1288380 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 1288380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829520).

1288380 is an abundant number, since it is smaller than the sum of its proper divisors (2370660).

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

1288380 is a wasteful number, since it uses less digits than its factorization.

1288380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1288380 is about 1135.0682798845. The cubic root of 1288380 is about 108.8131354888.

The spelling of 1288380 in words is "one million, two hundred eighty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 197 218 327 394 436 545 591 654 788 985 1090 1182 1308 1635 1970 2180 2364 2955 3270 3940 5910 6540 11820 21473 42946 64419 85892 107365 128838 214730 257676 322095 429460 644190 1288380