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119820768 = 25310091237
BaseRepresentation
bin1110010010001…
…01000111100000
322100110112012020
413021011013200
5221133231033
615520101440
72653313454
oct711050740
9270415166
10119820768
11616aa131
1234164880
131ba93482
1411cb0664
15a7bc6b3
hex72451e0

119820768 has 48 divisors (see below), whose sum is σ = 315095760. Its totient is φ = 39868416.

The previous prime is 119820761. The next prime is 119820773. The reversal of 119820768 is 867028911.

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 (119820761) 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, 96246 + ... + 97482.

It is an arithmetic number, because the mean of its divisors is an integer number (6564495).

Almost surely, 2119820768 is an apocalyptic number.

It is an amenable number.

119820768 is an abundant number, since it is smaller than the sum of its proper divisors (195274992).

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

119820768 is a wasteful number, since it uses less digits than its factorization.

119820768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 119820768 is about 10946.2673089962. The cubic root of 119820768 is about 492.9967235470.

The spelling of 119820768 in words is "one hundred nineteen million, eight hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1009 1237 2018 2474 3027 3711 4036 4948 6054 7422 8072 9896 12108 14844 16144 19792 24216 29688 32288 39584 48432 59376 96864 118752 1248133 2496266 3744399 4992532 7488798 9985064 14977596 19970128 29955192 39940256 59910384 119820768