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119391408 = 2434175419
BaseRepresentation
bin1110001110111…
…00010010110000
322022122201020000
413013130102300
5221031011113
615502550000
72646544623
oct707342260
9268581200
10119391408
1161436594
1233b98300
131b972c06
1411bdbdba
15a735373
hex71dc4b0

119391408 has 100 divisors (see below), whose sum is σ = 365947560. Its totient is φ = 37449216.

The previous prime is 119391361. The next prime is 119391431. The reversal of 119391408 is 804193911.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 19323 + ... + 24741.

Almost surely, 2119391408 is an apocalyptic number.

119391408 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 119391408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182973780).

119391408 is an abundant number, since it is smaller than the sum of its proper divisors (246556152).

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

119391408 is a wasteful number, since it uses less digits than its factorization.

119391408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5456 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 119391408 is about 10926.6375431786. The cubic root of 119391408 is about 492.4071584982.

The spelling of 119391408 in words is "one hundred nineteen million, three hundred ninety-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 5419 5508 7344 10838 11016 16257 21676 22032 32514 43352 48771 65028 86704 92123 97542 130056 146313 184246 195084 260112 276369 292626 368492 390168 438939 552738 585252 736984 780336 829107 877878 1105476 1170504 1473968 1658214 1755756 2210952 2341008 2487321 3316428 3511512 4421904 4974642 6632856 7023024 7461963 9949284 13265712 14923926 19898568 29847852 39797136 59695704 119391408