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1542314120 = 2351717912671
BaseRepresentation
bin101101111101101…
…1101100010001000
310222111010200020012
41123323131202020
511124313022440
6413013051052
753135311424
oct13373354210
93874120205
101542314120
11721661476
12370626a88
131b76b9209
14108b99b84
1590606e65
hex5bedd888

1542314120 has 64 divisors (see below), whose sum is σ = 3695155200. Its totient is φ = 577346560.

The previous prime is 1542314107. The next prime is 1542314129. The reversal of 1542314120 is 214132451.

It is not an unprimeable number, because it can be changed into a prime (1542314129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115385 + ... + 128055.

It is an arithmetic number, because the mean of its divisors is an integer number (57736800).

Almost surely, 21542314120 is an apocalyptic number.

1542314120 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 1542314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847577600).

1542314120 is an abundant number, since it is smaller than the sum of its proper divisors (2152841080).

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

1542314120 is a wasteful number, since it uses less digits than its factorization.

1542314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12878 (or 12874 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 1542314120 is about 39272.3072915254. The cubic root of 1542314120 is about 1155.3784907995.

Adding to 1542314120 its reverse (214132451), we get a palindrome (1756446571).

The spelling of 1542314120 in words is "one billion, five hundred forty-two million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 179 340 358 680 716 895 1432 1790 3043 3580 6086 7160 12172 12671 15215 24344 25342 30430 50684 60860 63355 101368 121720 126710 215407 253420 430814 506840 861628 1077035 1723256 2154070 2268109 4308140 4536218 8616280 9072436 11340545 18144872 22681090 38557853 45362180 77115706 90724360 154231412 192789265 308462824 385578530 771157060 1542314120