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1242180 = 2232567103
BaseRepresentation
bin100101111010001000100
32100002221200
410233101010
5304222210
642342500
713362342
oct4572104
92302850
101242180
117792a5
124baa30
13346524
14244992
151980c0
hex12f444

1242180 has 72 divisors (see below), whose sum is σ = 3861312. Its totient is φ = 323136.

The previous prime is 1242169. The next prime is 1242181. The reversal of 1242180 is 812421.

It is a super-2 number, since 2×12421802 = 3086022304800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1242181) 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, 12009 + ... + 12111.

21242180 is an apocalyptic number.

1242180 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 1242180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930656).

1242180 is an abundant number, since it is smaller than the sum of its proper divisors (2619132).

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

1242180 is a wasteful number, since it uses less digits than its factorization.

1242180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1242180 is about 1114.5312916199. The cubic root of 1242180 is about 107.4966287026.

It can be divided in two parts, 124 and 2180, that added together give a square (2304 = 482).

The spelling of 1242180 in words is "one million, two hundred forty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 103 134 180 201 206 268 309 335 402 412 515 603 618 670 804 927 1005 1030 1206 1236 1340 1545 1854 2010 2060 2412 3015 3090 3708 4020 4635 6030 6180 6901 9270 12060 13802 18540 20703 27604 34505 41406 62109 69010 82812 103515 124218 138020 207030 248436 310545 414060 621090 1242180