Search a number
-
+
119083968 = 2632792617
BaseRepresentation
bin1110001100100…
…01001111000000
322022002002111100
413012101033000
5220441141333
615452214400
72644124403
oct706211700
9268062440
10119083968
1161246603
1233a6a400
131b895cb3
1411b5bd3a
15a6c4213
hex71913c0

119083968 has 84 divisors (see below), whose sum is σ = 345785440. Its totient is φ = 39177216.

The previous prime is 119083957. The next prime is 119083999. The reversal of 119083968 is 869380911.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 44196 + ... + 46812.

Almost surely, 2119083968 is an apocalyptic number.

119083968 is a gapful number since it is divisible by the number (18) 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 119083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172892720).

119083968 is an abundant number, since it is smaller than the sum of its proper divisors (226701472).

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

119083968 is a wasteful number, since it uses less digits than its factorization.

119083968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 119083968 is about 10912.5601029273. The cubic root of 119083968 is about 491.9841359152.

It can be divided in two parts, 11908 and 3968, that added together give a square (15876 = 1262).

The spelling of 119083968 in words is "one hundred nineteen million, eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 144 158 192 237 288 316 474 576 632 711 948 1264 1422 1896 2528 2617 2844 3792 5056 5234 5688 7584 7851 10468 11376 15168 15702 20936 22752 23553 31404 41872 45504 47106 62808 83744 94212 125616 167488 188424 206743 251232 376848 413486 502464 620229 753696 826972 1240458 1507392 1653944 1860687 2480916 3307888 3721374 4961832 6615776 7442748 9923664 13231552 14885496 19847328 29770992 39694656 59541984 119083968