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120015136 = 2531337359
BaseRepresentation
bin1110010011101…
…00100100100000
322100211101211001
413021310210200
5221210441021
615524201344
72655053233
oct711644440
9270741731
10120015136
116182216a
1234239254
131bb30a97
1411d2141a
15a80a091
hex7274920

120015136 has 48 divisors (see below), whose sum is σ = 245306880. Its totient is φ = 57738240.

The previous prime is 120015131. The next prime is 120015143. The reversal of 120015136 is 631510021.

It is not an unprimeable number, because it can be changed into a prime (120015131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334125 + ... + 334483.

It is an arithmetic number, because the mean of its divisors is an integer number (5110560).

Almost surely, 2120015136 is an apocalyptic number.

120015136 is a gapful number since it is divisible by the number (16) 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 120015136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

120015136 is an abundant number, since it is smaller than the sum of its proper divisors (125291744).

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

120015136 is a wasteful number, since it uses less digits than its factorization.

120015136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 120015136 is about 10955.1419890388. The cubic root of 120015136 is about 493.2631520975.

Adding to 120015136 its reverse (631510021), we get a palindrome (751525157).

The spelling of 120015136 in words is "one hundred twenty million, fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 124 248 337 359 496 674 718 992 1348 1436 2696 2872 5392 5744 10447 10784 11129 11488 20894 22258 41788 44516 83576 89032 120983 167152 178064 241966 334304 356128 483932 967864 1935728 3750473 3871456 7500946 15001892 30003784 60007568 120015136