Search a number
-
+
119273056 = 2572294361
BaseRepresentation
bin1110001101111…
…11011001100000
322022102200212121
413012333121200
5221013214211
615500234024
72645542600
oct706773140
9268380777
10119273056
1161365681
1233b3b914
131b931096
1411baac00
15a710271
hex71bf660

119273056 has 144 divisors (see below), whose sum is σ = 293887440. Its totient is φ = 47416320.

The previous prime is 119273053. The next prime is 119273081. The reversal of 119273056 is 650372911.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119273053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1955266 + ... + 1955326.

It is an arithmetic number, because the mean of its divisors is an integer number (2040885).

Almost surely, 2119273056 is an apocalyptic number.

119273056 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 119273056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146943720).

119273056 is an abundant number, since it is smaller than the sum of its proper divisors (174614384).

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

119273056 is a wasteful number, since it uses less digits than its factorization.

119273056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 119273056 is about 10921.2204446206. The cubic root of 119273056 is about 492.2443979325.

The spelling of 119273056 in words is "one hundred nineteen million, two hundred seventy-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 43 49 56 58 61 86 98 112 116 122 172 196 203 224 232 244 301 344 392 406 427 464 488 602 688 784 812 854 928 976 1204 1247 1376 1421 1568 1624 1708 1769 1952 2107 2408 2494 2623 2842 2989 3248 3416 3538 4214 4816 4988 5246 5684 5978 6496 6832 7076 8428 8729 9632 9976 10492 11368 11956 12383 13664 14152 16856 17458 18361 19952 20984 22736 23912 24766 28304 33712 34916 36722 39904 41968 45472 47824 49532 56608 61103 67424 69832 73444 76067 83936 86681 95648 99064 122206 128527 139664 146888 152134 173362 198128 244412 257054 279328 293776 304268 346724 396256 488824 514108 532469 587552 608536 693448 977648 1028216 1064938 1217072 1386896 1955296 2056432 2129876 2434144 2773792 3727283 4112864 4259752 7454566 8519504 14909132 17039008 29818264 59636528 119273056