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120706542 = 232114114869
BaseRepresentation
bin1110011000111…
…01010111101110
322102010112020200
413030131113232
5221400102132
615551054330
72663663055
oct714352756
9272115220
10120706542
1162154680
12345113a6
131c0136b8
141206139c
15a8e4d7c
hex731d5ee

120706542 has 48 divisors (see below), whose sum is σ = 292284720. Its totient is φ = 35683200.

The previous prime is 120706519. The next prime is 120706561. The reversal of 120706542 is 245607021.

120706542 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 0 + 654 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 684 + ... + 15552.

It is an arithmetic number, because the mean of its divisors is an integer number (6089265).

Almost surely, 2120706542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120706542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146142360).

120706542 is an abundant number, since it is smaller than the sum of its proper divisors (171578178).

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

120706542 is a wasteful number, since it uses less digits than its factorization.

120706542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14929 (or 14926 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 120706542 is about 10986.6529024995. The cubic root of 120706542 is about 494.2085669378.

The spelling of 120706542 in words is "one hundred twenty million, seven hundred six thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 8118 14869 29738 44607 89214 133821 163559 267642 327118 490677 609629 981354 1219258 1472031 1828887 2944062 3657774 5486661 6705919 10973322 13411838 20117757 40235514 60353271 120706542