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119289216 = 2732411289
BaseRepresentation
bin1110001110000…
…11010110000000
322022110112001010
413013003112000
5221014223331
615500440520
72645640654
oct707032600
9268415033
10119289216
1161376832
1233b49140
131b938547
1411bb2a64
15a714e46
hex71c3580

119289216 has 64 divisors (see below), whose sum is σ = 318423600. Its totient is φ = 39567360.

The previous prime is 119289211. The next prime is 119289223. The reversal of 119289216 is 612982911.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119289211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91900 + ... + 93188.

Almost surely, 2119289216 is an apocalyptic number.

119289216 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 119289216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159211800).

119289216 is an abundant number, since it is smaller than the sum of its proper divisors (199134384).

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

119289216 is a wasteful number, since it uses less digits than its factorization.

119289216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1535 counting only the distinct ones).

The product of its digits is 15552, while the sum is 39.

The square root of 119289216 is about 10921.9602636157. The cubic root of 119289216 is about 492.2666279050.

The spelling of 119289216 in words is "one hundred nineteen million, two hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 241 384 482 723 964 1289 1446 1928 2578 2892 3856 3867 5156 5784 7712 7734 10312 11568 15424 15468 20624 23136 30848 30936 41248 46272 61872 82496 92544 123744 164992 247488 310649 494976 621298 931947 1242596 1863894 2485192 3727788 4970384 7455576 9940768 14911152 19881536 29822304 39763072 59644608 119289216