Search a number
-
+
154483120 = 24511215959
BaseRepresentation
bin10010011010100…
…11100110110000
3101202200120000001
421031103212300
5304021424440
623155035344
73554041051
oct1115234660
9352616001
10154483120
117a224500
124389bb54
132600b63c
1416734728
15d867b9a
hex93539b0

154483120 has 60 divisors (see below), whose sum is σ = 394818480. Its totient is φ = 56172160.

The previous prime is 154483099. The next prime is 154483123. The reversal of 154483120 is 21384451.

It is not an unprimeable number, because it can be changed into a prime (154483123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1701 + ... + 17659.

It is an arithmetic number, because the mean of its divisors is an integer number (6580308).

Almost surely, 2154483120 is an apocalyptic number.

154483120 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 154483120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197409240).

154483120 is an abundant number, since it is smaller than the sum of its proper divisors (240335360).

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

154483120 is a wasteful number, since it uses less digits than its factorization.

154483120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15994 (or 15977 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 154483120 is about 12429.1238629277. The cubic root of 154483120 is about 536.5707701721.

The spelling of 154483120 in words is "one hundred fifty-four million, four hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 15959 31918 63836 79795 127672 159590 175549 255344 319180 351098 638360 702196 877745 1276720 1404392 1755490 1931039 2808784 3510980 3862078 7021960 7724156 9655195 14043920 15448312 19310390 30896624 38620780 77241560 154483120