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120752040 = 23351006267
BaseRepresentation
bin1110011001010…
…00011110101000
322102012211122210
413030220132220
5221403031130
615552045120
72664242523
oct714503650
9272184583
10120752040
1162185882
12345337a0
131c02b316
1412073bba
15a9035b0
hex73287a8

120752040 has 32 divisors (see below), whose sum is σ = 362256480. Its totient is φ = 32200512.

The previous prime is 120752033. The next prime is 120752057. The reversal of 120752040 is 40257021.

It is a junction number, because it is equal to n+sod(n) for n = 120751998 and 120752016.

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 7 ways as a sum of consecutive naturals, for example, 503014 + ... + 503253.

It is an arithmetic number, because the mean of its divisors is an integer number (11320515).

Almost surely, 2120752040 is an apocalyptic number.

120752040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120752040 is an abundant number, since it is smaller than the sum of its proper divisors (241504440).

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

120752040 is a wasteful number, since it uses less digits than its factorization.

120752040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006281 (or 1006277 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 120752040 is about 10988.7233107400. The cubic root of 120752040 is about 494.2706532628.

The spelling of 120752040 in words is "one hundred twenty million, seven hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1006267 2012534 3018801 4025068 5031335 6037602 8050136 10062670 12075204 15094005 20125340 24150408 30188010 40250680 60376020 120752040