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1342120 = 235132989
BaseRepresentation
bin101000111101010101000
32112012001011
411013222220
5320421440
644433304
714256613
oct5075250
92465034
101342120
1183739a
12548834
1337cb70
1426d17a
151b79ea
hex147aa8

1342120 has 64 divisors (see below), whose sum is σ = 3402000. Its totient is φ = 473088.

The previous prime is 1342111. The next prime is 1342139. The reversal of 1342120 is 212431.

It can be written as a sum of positive squares in 8 ways, for example, as 171396 + 1170724 = 414^2 + 1082^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1342120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15036 + ... + 15124.

21342120 is an apocalyptic number.

1342120 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 1342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701000).

1342120 is an abundant number, since it is smaller than the sum of its proper divisors (2059880).

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

1342120 is a wasteful number, since it uses less digits than its factorization.

1342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1342120 is about 1158.4990289163. The cubic root of 1342120 is about 110.3054869186.

Adding to 1342120 its reverse (212431), we get a palindrome (1554551).

The spelling of 1342120 in words is "one million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 89 104 116 130 145 178 232 260 290 356 377 445 520 580 712 754 890 1157 1160 1508 1780 1885 2314 2581 3016 3560 3770 4628 5162 5785 7540 9256 10324 11570 12905 15080 20648 23140 25810 33553 46280 51620 67106 103240 134212 167765 268424 335530 671060 1342120