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119820064 = 25713231789
BaseRepresentation
bin1110010010001…
…00111100100000
322100110111020011
413021010330200
5221133220224
615520054304
72653311430
oct711047440
9270414204
10119820064
11616a9651
1234164394
131ba93060
1411cb02c0
15a7bc394
hex7244f20

119820064 has 96 divisors (see below), whose sum is σ = 303125760. Its totient is φ = 45315072.

The previous prime is 119820049. The next prime is 119820073. The reversal of 119820064 is 460028911.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 66082 + ... + 67870.

It is an arithmetic number, because the mean of its divisors is an integer number (3157560).

Almost surely, 2119820064 is an apocalyptic number.

119820064 is a gapful number since it is divisible by the number (14) 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 119820064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151562880).

119820064 is an abundant number, since it is smaller than the sum of its proper divisors (183305696).

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

119820064 is a wasteful number, since it uses less digits than its factorization.

119820064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 119820064 is about 10946.2351518684. The cubic root of 119820064 is about 492.9957580205.

Adding to 119820064 its reverse (460028911), we get a palindrome (579848975).

The spelling of 119820064 in words is "one hundred nineteen million, eight hundred twenty thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 91 92 104 112 161 182 184 208 224 299 322 364 368 416 598 644 728 736 1196 1288 1456 1789 2093 2392 2576 2912 3578 4186 4784 5152 7156 8372 9568 12523 14312 16744 23257 25046 28624 33488 41147 46514 50092 57248 66976 82294 93028 100184 162799 164588 186056 200368 288029 325598 329176 372112 400736 534911 576058 651196 658352 744224 1069822 1152116 1302392 1316704 2139644 2304232 2604784 3744377 4279288 4608464 5209568 7488754 8558576 9216928 14977508 17117152 29955016 59910032 119820064