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120042342 = 232719411223
BaseRepresentation
bin1110010011110…
…11001101100110
322100212210010200
413021323031212
5221212323332
615524531330
72655225450
oct711731546
9270783120
10120042342
1161840652
1234250b46
131bb40294
1411d2b2d0
15a81317c
hex727b366

120042342 has 96 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 31674240.

The previous prime is 120042311. The next prime is 120042347. The reversal of 120042342 is 243240021.

120042342 is a `hidden beast` number, since 1 + 200 + 423 + 42 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120042347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97543 + ... + 98765.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2120042342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120042342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

120042342 is an abundant number, since it is smaller than the sum of its proper divisors (200743578).

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

120042342 is a wasteful number, since it uses less digits than its factorization.

120042342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 120042342 is about 10956.3836186946. The cubic root of 120042342 is about 493.3004215728.

Adding to 120042342 its reverse (243240021), we get a palindrome (363282363).

The spelling of 120042342 in words is "one hundred twenty million, forty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 41 42 57 63 82 114 123 126 133 171 246 266 287 342 369 399 574 738 779 798 861 1197 1223 1558 1722 2337 2394 2446 2583 3669 4674 5166 5453 7011 7338 8561 10906 11007 14022 16359 17122 22014 23237 25683 32718 46474 49077 50143 51366 69711 77049 98154 100286 139422 150429 154098 162659 209133 300858 325318 351001 418266 451287 487977 702002 902574 952717 975954 1053003 1463931 1905434 2106006 2858151 2927862 3159009 5716302 6318018 6669019 8574453 13338038 17148906 20007057 40014114 60021171 120042342