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119317968 = 243371117211
BaseRepresentation
bin1110001110010…
…10010111010000
322022111222111000
413013022113100
5221021133333
615501222000
72646120540
oct707122720
9268458430
10119317968
11613963a0
1233b61900
131b948663
1411bbd320
15a71d713
hex71ca5d0

119317968 has 320 divisors, whose sum is σ = 454256640. Its totient is φ = 29030400.

The previous prime is 119317963. The next prime is 119317987. The reversal of 119317968 is 869713911.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119317963) 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 63 ways as a sum of consecutive naturals, for example, 565383 + ... + 565593.

It is an arithmetic number, because the mean of its divisors is an integer number (1419552).

Almost surely, 2119317968 is an apocalyptic number.

119317968 is a gapful number since it is divisible by the number (18) 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 119317968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227128320).

119317968 is an abundant number, since it is smaller than the sum of its proper divisors (334938672).

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

119317968 is a wasteful number, since it uses less digits than its factorization.

119317968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 119317968 is about 10923.2764315475. The cubic root of 119317968 is about 492.3061746848.

The spelling of 119317968 in words is "one hundred nineteen million, three hundred seventeen thousand, nine hundred sixty-eight".