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120836142 = 23271934969
BaseRepresentation
bin1110011001111…
…01000000101110
322102101010000200
413030331000232
5221413224032
615553534330
72665042650
oct714750056
9272333020
10120836142
1162232a89
12345743a6
131c05a69b
14120966d0
15a91d47c
hex733d02e

120836142 has 48 divisors (see below), whose sum is σ = 300824160. Its totient is φ = 34338816.

The previous prime is 120836141. The next prime is 120836147. The reversal of 120836142 is 241638021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120836141) 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, 21834 + ... + 26802.

It is an arithmetic number, because the mean of its divisors is an integer number (6267170).

Almost surely, 2120836142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120836142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150412080).

120836142 is an abundant number, since it is smaller than the sum of its proper divisors (179988018).

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

120836142 is a wasteful number, since it uses less digits than its factorization.

120836142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5177 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 120836142 is about 10992.5493858340. The cubic root of 120836142 is about 494.3853773521.

It can be divided in two parts, 12083 and 6142, that added together give a square (18225 = 1352).

The spelling of 120836142 in words is "one hundred twenty million, eight hundred thirty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 193 386 579 1158 1351 1737 2702 3474 4053 4969 8106 9938 12159 14907 24318 29814 34783 44721 69566 89442 104349 208698 313047 626094 959017 1918034 2877051 5754102 6713119 8631153 13426238 17262306 20139357 40278714 60418071 120836142