Search a number
-
+
119093920 = 25511157431
BaseRepresentation
bin1110001100100…
…11101010100000
322022002121010221
413012103222200
5220442001140
615452332424
72644165411
oct706235240
9268077127
10119093920
1161253030
1233a74114
131b89a69a
1411b61808
15a6c714a
hex7193aa0

119093920 has 96 divisors (see below), whose sum is σ = 309609216. Its totient is φ = 42931200.

The previous prime is 119093917. The next prime is 119093921. The reversal of 119093920 is 29390911.

It is not an unprimeable number, because it can be changed into a prime (119093921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276105 + ... + 276535.

It is an arithmetic number, because the mean of its divisors is an integer number (3225096).

Almost surely, 2119093920 is an apocalyptic number.

119093920 is a gapful number since it is divisible by the number (10) 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 119093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154804608).

119093920 is an abundant number, since it is smaller than the sum of its proper divisors (190515296).

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

119093920 is a wasteful number, since it uses less digits than its factorization.

119093920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 34.

The square root of 119093920 is about 10913.0160817255. The cubic root of 119093920 is about 491.9978407819.

The spelling of 119093920 in words is "one hundred nineteen million, ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 157 160 176 220 314 352 431 440 628 785 862 880 1256 1570 1724 1727 1760 2155 2512 3140 3448 3454 4310 4741 5024 6280 6896 6908 8620 8635 9482 12560 13792 13816 17240 17270 18964 23705 25120 27632 34480 34540 37928 47410 55264 67667 68960 69080 75856 94820 135334 138160 151712 189640 270668 276320 338335 379280 541336 676670 744337 758560 1082672 1353340 1488674 2165344 2706680 2977348 3721685 5413360 5954696 7443370 10826720 11909392 14886740 23818784 29773480 59546960 119093920