Search a number
-
+
119163552 = 25323291861
BaseRepresentation
bin1110001101001…
…00101010100000
322022020010122220
413012210222200
5221001213202
615454031040
72644605414
oct706445240
9268203586
10119163552
11612a0382
1233aa8480
131b8c32a1
1411b7cd44
15a6dcabc
hex71a4aa0

119163552 has 96 divisors (see below), whose sum is σ = 337841280. Its totient is φ = 36664320.

The previous prime is 119163547. The next prime is 119163553. The reversal of 119163552 is 255361911.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (119163553) 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, 63102 + ... + 64962.

It is an arithmetic number, because the mean of its divisors is an integer number (3519180).

Almost surely, 2119163552 is an apocalyptic number.

119163552 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 119163552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

119163552 is an abundant number, since it is smaller than the sum of its proper divisors (218677728).

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

119163552 is a wasteful number, since it uses less digits than its factorization.

119163552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1918 counting only the distinct ones).

The product of its digits is 8100, while the sum is 33.

The square root of 119163552 is about 10916.2059342979. The cubic root of 119163552 is about 492.0937094291.

The spelling of 119163552 in words is "one hundred nineteen million, one hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 69 87 92 96 116 138 174 184 232 276 348 368 464 552 667 696 736 928 1104 1334 1392 1861 2001 2208 2668 2784 3722 4002 5336 5583 7444 8004 10672 11166 14888 16008 21344 22332 29776 32016 42803 44664 53969 59552 64032 85606 89328 107938 128409 161907 171212 178656 215876 256818 323814 342424 431752 513636 647628 684848 863504 1027272 1241287 1295256 1369696 1727008 2054544 2482574 2590512 3723861 4109088 4965148 5181024 7447722 9930296 14895444 19860592 29790888 39721184 59581776 119163552