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120140352 = 2632208577
BaseRepresentation
bin1110010100100…
…11001001000000
322101001202120200
413022103021000
5221223442402
615531005200
72656114263
oct712231100
9271052520
10120140352
11618a8252
1234299800
131bb75a87
1411d54cda
15a83221c
hex7293240

120140352 has 42 divisors (see below), whose sum is σ = 344362278. Its totient is φ = 40046592.

The previous prime is 120140351. The next prime is 120140381. The reversal of 120140352 is 253041021.

It can be written as a sum of positive squares in only one way, i.e., 88059456 + 32080896 = 9384^2 + 5664^2 .

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

It is not an unprimeable number, because it can be changed into a prime (120140351) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103713 + ... + 104864.

Almost surely, 2120140352 is an apocalyptic number.

120140352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120140352 is an abundant number, since it is smaller than the sum of its proper divisors (224221926).

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

120140352 is a wasteful number, since it uses less digits than its factorization.

120140352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208595 (or 208582 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120140352 is about 10960.8554410685. The cubic root of 120140352 is about 493.4346387200.

Adding to 120140352 its reverse (253041021), we get a palindrome (373181373).

The spelling of 120140352 in words is "one hundred twenty million, one hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 208577 417154 625731 834308 1251462 1668616 1877193 2502924 3337232 3754386 5005848 6674464 7508772 10011696 13348928 15017544 20023392 30035088 40046784 60070176 120140352