Search a number
-
+
1310220 = 2232529251
BaseRepresentation
bin100111111111000001100
32110120021200
410333320030
5313411340
644025500
714064612
oct4777014
92416250
101310220
1181542a
12532290
1336b4a2
142616b2
151ad330
hex13fe0c

1310220 has 72 divisors (see below), whose sum is σ = 4127760. Its totient is φ = 336000.

The previous prime is 1310209. The next prime is 1310233. The reversal of 1310220 is 220131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5095 + ... + 5345.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

21310220 is an apocalyptic number.

1310220 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 1310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063880).

1310220 is an abundant number, since it is smaller than the sum of its proper divisors (2817540).

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

1310220 is a wasteful number, since it uses less digits than its factorization.

1310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1310220 is about 1144.6484176375. The cubic root of 1310220 is about 109.4245429976.

Adding to 1310220 its reverse (220131), we get a palindrome (1530351).

The spelling of 1310220 in words is "one million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 251 261 290 348 435 502 522 580 753 870 1004 1044 1255 1305 1506 1740 2259 2510 2610 3012 3765 4518 5020 5220 7279 7530 9036 11295 14558 15060 21837 22590 29116 36395 43674 45180 65511 72790 87348 109185 131022 145580 218370 262044 327555 436740 655110 1310220