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119480064 = 2831114143
BaseRepresentation
bin1110001111100…
…01111100000000
322022211012211120
413013301330000
5221041330224
615504512240
72650364244
oct707617400
9268735746
10119480064
1161497160
123401b680
131b9a4382
1411c22424
15a751779
hex71f1f00

119480064 has 72 divisors (see below), whose sum is σ = 346924032. Its totient is φ = 36203520.

The previous prime is 119480057. The next prime is 119480069. The reversal of 119480064 is 460084911.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119480069) 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, 1377 + ... + 15519.

Almost surely, 2119480064 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 119480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173462016).

119480064 is an abundant number, since it is smaller than the sum of its proper divisors (227443968).

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

119480064 is a wasteful number, since it uses less digits than its factorization.

119480064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14173 (or 14159 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 119480064 is about 10930.6936650882. The cubic root of 119480064 is about 492.5290099466.

The spelling of 119480064 in words is "one hundred nineteen million, four hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 14143 28286 42429 56572 84858 113144 155573 169716 226288 311146 339432 452576 466719 622292 678864 905152 933438 1244584 1357728 1810304 1866876 2489168 2715456 3620608 3733752 4978336 5430912 7467504 9956672 10861824 14935008 19913344 29870016 39826688 59740032 119480064