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1230120 = 233351767
BaseRepresentation
bin100101100010100101000
32022111102000
410230110220
5303330440
642211000
713312233
oct4542450
92274360
101230120
11770231
124b3a60
13340ba8
1424041a
15194730
hex12c528

1230120 has 128 divisors (see below), whose sum is σ = 4406400. Its totient is φ = 304128.

The previous prime is 1230107. The next prime is 1230127. The reversal of 1230120 is 210321.

1230120 = T491 + T492 + ... + T500.

It is a happy number.

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

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1230127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18327 + ... + 18393.

It is an arithmetic number, because the mean of its divisors is an integer number (34425).

21230120 is an apocalyptic number.

1230120 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 1230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203200).

1230120 is an abundant number, since it is smaller than the sum of its proper divisors (3176280).

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

1230120 is a wasteful number, since it uses less digits than its factorization.

1230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

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

The square root of 1230120 is about 1109.1077494996. The cubic root of 1230120 is about 107.1476112176.

Adding to 1230120 its reverse (210321), we get a palindrome (1440441).

It can be divided in two parts, 12301 and 20, that added together give a palindrome (12321).

The spelling of 1230120 in words is "one million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 67 68 72 85 90 102 108 120 134 135 136 153 170 180 201 204 216 255 268 270 306 335 340 360 402 408 459 510 536 540 603 612 670 680 765 804 918 1005 1020 1080 1139 1206 1224 1340 1530 1608 1809 1836 2010 2040 2278 2295 2412 2680 3015 3060 3417 3618 3672 4020 4556 4590 4824 5695 6030 6120 6834 7236 8040 9045 9112 9180 10251 11390 12060 13668 14472 17085 18090 18360 20502 22780 24120 27336 30753 34170 36180 41004 45560 51255 61506 68340 72360 82008 102510 123012 136680 153765 205020 246024 307530 410040 615060 1230120