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119008008 = 23337312539
BaseRepresentation
bin1110001011111…
…10101100001000
322021221020022000
413011332230020
5220431224013
615450431000
72643360060
oct705765410
9267836260
10119008008
11611a4529
1233a32460
131b86a552
1411b3c3a0
15a6ab973
hex717eb08

119008008 has 128 divisors (see below), whose sum is σ = 390144000. Its totient is φ = 32892480.

The previous prime is 119007983. The next prime is 119008027. The reversal of 119008008 is 800800911.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45603 + ... + 48141.

It is an arithmetic number, because the mean of its divisors is an integer number (3048000).

Almost surely, 2119008008 is an apocalyptic number.

119008008 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 119008008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195072000).

119008008 is an abundant number, since it is smaller than the sum of its proper divisors (271135992).

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

119008008 is a wasteful number, since it uses less digits than its factorization.

119008008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 119008008 is about 10909.0791545391. The cubic root of 119008008 is about 491.8795064834.

Adding to 119008008 its reverse (800800911), we get a palindrome (919808919).

The spelling of 119008008 in words is "one hundred nineteen million, eight thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 168 186 189 216 217 248 252 279 372 378 434 504 558 651 744 756 837 868 1116 1302 1512 1674 1736 1953 2232 2539 2604 3348 3906 5078 5208 5859 6696 7617 7812 10156 11718 15234 15624 17773 20312 22851 23436 30468 35546 45702 46872 53319 60936 68553 71092 78709 91404 106638 137106 142184 157418 159957 182808 213276 236127 274212 314836 319914 426552 472254 479871 548424 550963 629672 639828 708381 944508 959742 1101926 1279656 1416762 1652889 1889016 1919484 2125143 2203852 2833524 3305778 3838968 4250286 4407704 4958667 5667048 6611556 8500572 9917334 13223112 14876001 17001144 19834668 29752002 39669336 59504004 119008008