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119129568 = 2538314951
BaseRepresentation
bin1110001100111…
…00010111100000
322022011102001020
413012130113200
5220444121233
615453205440
72644404345
oct706342740
9268142036
10119129568
1161277898
1233a90880
131b8b098c
1411b707cc
15a6d29b3
hex719c5e0

119129568 has 48 divisors (see below), whose sum is σ = 316503936. Its totient is φ = 39228800.

The previous prime is 119129567. The next prime is 119129573. The reversal of 119129568 is 865921911.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119129561) by changing a digit.

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, 493 + ... + 15443.

It is an arithmetic number, because the mean of its divisors is an integer number (6593832).

Almost surely, 2119129568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119129568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158251968).

119129568 is an abundant number, since it is smaller than the sum of its proper divisors (197374368).

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

119129568 is a wasteful number, since it uses less digits than its factorization.

119129568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15047 (or 15039 counting only the distinct ones).

The product of its digits is 38880, while the sum is 42.

The square root of 119129568 is about 10914.6492385234. The cubic root of 119129568 is about 492.0469252619.

The spelling of 119129568 in words is "one hundred nineteen million, one hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 14951 29902 44853 59804 89706 119608 179412 239216 358824 478432 717648 1240933 1435296 2481866 3722799 4963732 7445598 9927464 14891196 19854928 29782392 39709856 59564784 119129568