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120475740 = 223571189293
BaseRepresentation
bin1110010111001…
…01000001011100
322101200210122110
413023211001130
5221320210430
615542114020
72662012140
oct713450134
9271623573
10120475740
1162007230
123441b910
131bc62628
1412001220
15a89b7b0
hex72e505c

120475740 has 192 divisors, whose sum is σ = 426746880. Its totient is φ = 24668160.

The previous prime is 120475727. The next prime is 120475763. The reversal of 120475740 is 47574021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 120475698 and 120475707.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 411034 + ... + 411326.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 2120475740 is an apocalyptic number.

120475740 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 120475740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213373440).

120475740 is an abundant number, since it is smaller than the sum of its proper divisors (306271140).

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

120475740 is a wasteful number, since it uses less digits than its factorization.

120475740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 120475740 is about 10976.1441317067. The cubic root of 120475740 is about 493.8933752296.

The spelling of 120475740 in words is "one hundred twenty million, four hundred seventy-five thousand, seven hundred forty".