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119009856 = 2637731213
BaseRepresentation
bin1110001011111…
…11001001000000
322021221022211110
413011333021000
5220431303411
615450443320
72643365340
oct705771100
9267838743
10119009856
11611a5959
1233a33540
131b86b344
1411b3cd20
15a6ac2a6
hex717f240

119009856 has 112 divisors (see below), whose sum is σ = 365093504. Its totient is φ = 33509376.

The previous prime is 119009851. The next prime is 119009873. The reversal of 119009856 is 658900911.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (119009851) 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 15 ways as a sum of consecutive naturals, for example, 97506 + ... + 98718.

Almost surely, 2119009856 is an apocalyptic number.

119009856 is a gapful number since it is divisible by the number (16) 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 119009856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182546752).

119009856 is an abundant number, since it is smaller than the sum of its proper divisors (246083648).

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

119009856 is a wasteful number, since it uses less digits than its factorization.

119009856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 119009856 is about 10909.1638543016. The cubic root of 119009856 is about 491.8820524987.

The spelling of 119009856 in words is "one hundred nineteen million, nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 146 168 192 219 224 292 336 438 448 511 584 672 876 1022 1168 1213 1344 1533 1752 2044 2336 2426 3066 3504 3639 4088 4672 4852 6132 7008 7278 8176 8491 9704 12264 14016 14556 16352 16982 19408 24528 25473 29112 32704 33964 38816 49056 50946 58224 67928 77632 88549 98112 101892 116448 135856 177098 203784 232896 265647 271712 354196 407568 531294 543424 619843 708392 815136 1062588 1239686 1416784 1630272 1859529 2125176 2479372 2833568 3719058 4250352 4958744 5667136 7438116 8500704 9917488 14876232 17001408 19834976 29752464 39669952 59504928 119009856