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120340040 = 2356783541
BaseRepresentation
bin1110010110000…
…11111001001000
322101102220111112
413023003321020
5221301340130
615535145452
72660605412
oct713037110
9271386445
10120340040
1161a24287
1234375288
131bc15932
1411da79b2
15a871495
hex72c3e48

120340040 has 64 divisors (see below), whose sum is σ = 278631360. Its totient is φ = 46759680.

The previous prime is 120340027. The next prime is 120340057. The reversal of 120340040 is 40043021.

It is a junction number, because it is equal to n+sod(n) for n = 120339997 and 120340024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222170 + ... + 222710.

It is an arithmetic number, because the mean of its divisors is an integer number (4353615).

Almost surely, 2120340040 is an apocalyptic number.

120340040 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 120340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139315680).

120340040 is an abundant number, since it is smaller than the sum of its proper divisors (158291320).

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

120340040 is a wasteful number, since it uses less digits than its factorization.

120340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 120340040 is about 10969.9608021178. The cubic root of 120340040 is about 493.7078703572.

Adding to 120340040 its reverse (40043021), we get a palindrome (160383061).

The spelling of 120340040 in words is "one hundred twenty million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 83 134 166 268 332 335 415 536 541 664 670 830 1082 1340 1660 2164 2680 2705 3320 4328 5410 5561 10820 11122 21640 22244 27805 36247 44488 44903 55610 72494 89806 111220 144988 179612 181235 222440 224515 289976 359224 362470 449030 724940 898060 1449880 1796120 3008501 6017002 12034004 15042505 24068008 30085010 60170020 120340040