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120630735 = 3352234007
BaseRepresentation
bin1110011000010…
…10110111001111
322101222200021000
413030022313033
5221340140420
615545311343
72663226051
oct714126717
9271880230
10120630735
1162102725
1234495553
131bcb8044
14120418d1
15a8cc690
hex730adcf

120630735 has 32 divisors (see below), whose sum is σ = 215470080. Its totient is φ = 64031904.

The previous prime is 120630721. The next prime is 120630761. The reversal of 120630735 is 537036021.

It is a happy number.

120630735 is a `hidden beast` number, since 1 + 20 + 630 + 7 + 3 + 5 = 666.

It is not a de Polignac number, because 120630735 - 211 = 120628687 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 120630699 and 120630708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28102 + ... + 32108.

It is an arithmetic number, because the mean of its divisors is an integer number (6733440).

Almost surely, 2120630735 is an apocalyptic number.

120630735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120630735 is a deficient number, since it is larger than the sum of its proper divisors (94839345).

120630735 is a wasteful number, since it uses less digits than its factorization.

120630735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 120630735 is about 10983.2024018498. The cubic root of 120630735 is about 494.1050864529.

Adding to 120630735 its reverse (537036021), we get a palindrome (657666756).

The spelling of 120630735 in words is "one hundred twenty million, six hundred thirty thousand, seven hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 223 669 1115 2007 3345 4007 6021 10035 12021 20035 30105 36063 60105 108189 180315 540945 893561 2680683 4467805 8042049 13403415 24126147 40210245 120630735