Search a number
-
+
119238912 = 2833131327
BaseRepresentation
bin1110001101101…
…11000100000000
322022100222001000
413012313010000
5221011121122
615455412000
72645341212
oct706670400
9268328030
10119238912
1161341a61
1233b24000
131b91b690
1411b9c5b2
15a7050ac
hex71b7100

119238912 has 144 divisors (see below), whose sum is σ = 380020480. Its totient is φ = 36661248.

The previous prime is 119238863. The next prime is 119238913. The reversal of 119238912 is 219832911.

It is a tau number, because it is divible by the number of its divisors (144).

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 not an unprimeable number, because it can be changed into a prime (119238913) 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 15 ways as a sum of consecutive naturals, for example, 89193 + ... + 90519.

Almost surely, 2119238912 is an apocalyptic number.

119238912 is a gapful number since it is divisible by the number (12) 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 119238912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190010240).

119238912 is an abundant number, since it is smaller than the sum of its proper divisors (260781568).

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

119238912 is a wasteful number, since it uses less digits than its factorization.

119238912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1345 counting only the distinct ones).

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

The square root of 119238912 is about 10919.6571374746. The cubic root of 119238912 is about 492.1974222580.

It can be divided in two parts, 1192 and 38912, that added together give a palindrome (40104).

The spelling of 119238912 in words is "one hundred nineteen million, two hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1327 1404 1664 1728 1872 2304 2496 2654 2808 3328 3456 3744 3981 4992 5308 5616 6912 7488 7962 9984 10616 11232 11943 14976 15924 17251 21232 22464 23886 29952 31848 34502 35829 42464 44928 47772 51753 63696 69004 71658 84928 89856 95544 103506 127392 138008 143316 155259 169856 191088 207012 254784 276016 286632 310518 339712 382176 414024 465777 509568 552032 573264 621036 764352 828048 931554 1019136 1104064 1146528 1242072 1528704 1656096 1863108 2208128 2293056 2484144 3057408 3312192 3726216 4416256 4586112 4968288 6624384 7452432 9172224 9936576 13248768 14904864 19873152 29809728 39746304 59619456 119238912