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119129328 = 24322335969
BaseRepresentation
bin1110001100111…
…00010011110000
322022011101201100
413012130103300
5220444114303
615453204400
72644403553
oct706342360
9268141640
10119129328
116127769a
1233a90700
131b8b0836
1411b7069a
15a6d28a3
hex719c4f0

119129328 has 60 divisors (see below), whose sum is σ = 347901840. Its totient is φ = 37982208.

The previous prime is 119129327. The next prime is 119129377. The reversal of 119129328 is 823921911.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 119129292 and 119129301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119129321) 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 11 ways as a sum of consecutive naturals, for example, 14673 + ... + 21296.

It is an arithmetic number, because the mean of its divisors is an integer number (5798364).

Almost surely, 2119129328 is an apocalyptic number.

119129328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

119129328 is an abundant number, since it is smaller than the sum of its proper divisors (228772512).

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

119129328 is a wasteful number, since it uses less digits than its factorization.

119129328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36006 (or 35997 counting only the distinct ones).

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

The square root of 119129328 is about 10914.6382441197. The cubic root of 119129328 is about 492.0465948336.

The spelling of 119129328 in words is "one hundred nineteen million, one hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 35969 71938 107907 143876 215814 287752 323721 431628 575504 647442 827287 863256 1294884 1654574 1726512 2481861 2589768 3309148 4963722 5179536 6618296 7445583 9927444 13236592 14891166 19854888 29782332 39709776 59564664 119129328