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1201320 = 233254771
BaseRepresentation
bin100100101010010101000
32021000220100
410211102220
5301420240
641425400
713132251
oct4452250
92230810
101201320
1175062a
1249b260
13330a53
14233b28
1518ae30
hex1254a8

1201320 has 96 divisors (see below), whose sum is σ = 4043520. Its totient is φ = 309120.

The previous prime is 1201309. The next prime is 1201327. The reversal of 1201320 is 231021.

It is a happy number.

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

1201320 is a modest number, since divided by 1320 gives 120 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1201327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16885 + ... + 16955.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

21201320 is an apocalyptic number.

1201320 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 1201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021760).

1201320 is an abundant number, since it is smaller than the sum of its proper divisors (2842200).

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

1201320 is a wasteful number, since it uses less digits than its factorization.

1201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 128 counting only the distinct ones).

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

The square root of 1201320 is about 1096.0474442286. The cubic root of 1201320 is about 106.3048067877.

Adding to 1201320 its reverse (231021), we get a palindrome (1432341).

Subtracting from 1201320 its reverse (231021), we obtain a cube (970299 = 993).

It can be divided in two parts, 1201 and 320, that added together give a square (1521 = 392).

The spelling of 1201320 in words is "one million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 71 72 90 94 120 141 142 180 188 213 235 282 284 355 360 376 423 426 470 564 568 639 705 710 846 852 940 1065 1128 1278 1410 1420 1692 1704 1880 2115 2130 2556 2820 2840 3195 3337 3384 4230 4260 5112 5640 6390 6674 8460 8520 10011 12780 13348 16685 16920 20022 25560 26696 30033 33370 40044 50055 60066 66740 80088 100110 120132 133480 150165 200220 240264 300330 400440 600660 1201320