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119008000 = 28533719
BaseRepresentation
bin1110001011111…
…10101100000000
322021221020021201
413011332230000
5220431224000
615450430544
72643360046
oct705765400
9267836251
10119008000
11611a4521
1233a32454
131b86a547
1411b3c396
15a6ab96a
hex717eb00

119008000 has 72 divisors (see below), whose sum is σ = 296543520. Its totient is φ = 47590400.

The previous prime is 119007983. The next prime is 119008027. The reversal of 119008000 is 800911.

It is a congruent number.

It is an unprimeable number.

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, 30141 + ... + 33859.

It is an arithmetic number, because the mean of its divisors is an integer number (4118660).

Almost surely, 2119008000 is an apocalyptic number.

119008000 is a gapful number since it is divisible by the number (10) 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 119008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148271760).

119008000 is an abundant number, since it is smaller than the sum of its proper divisors (177535520).

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

119008000 is an frugal number, since it uses more digits than its factorization.

119008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 119008000 is about 10909.0787878721. The cubic root of 119008000 is about 491.8794954616.

Adding to 119008000 its reverse (800911), we get a palindrome (119808911).

It can be divided in two parts, 11900 and 8000, that added together give a triangular number (19900 = T199).

The spelling of 119008000 in words is "one hundred nineteen million, eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 3719 4000 6400 7438 8000 14876 16000 18595 29752 32000 37190 59504 74380 92975 119008 148760 185950 238016 297520 371900 464875 476032 595040 743800 929750 952064 1190080 1487600 1859500 2380160 2975200 3719000 4760320 5950400 7438000 11900800 14876000 23801600 29752000 59504000 119008000