Search a number
-
+
554153120 = 25519717581
BaseRepresentation
bin100001000001111…
…011010010100000
31102121201220011122
4201001323102200
52113330344440
6130553231412
716506136523
oct4101732240
91377656148
10554153120
11264894494
12135702568
138aa65971
1453850bba
15339b37b5
hex2107b4a0

554153120 has 48 divisors (see below), whose sum is σ = 1315907208. Its totient is φ = 220523520.

The previous prime is 554153087. The next prime is 554153129. The reversal of 554153120 is 21351455.

It can be written as a sum of positive squares in 4 ways, for example, as 514563856 + 39589264 = 22684^2 + 6292^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 554153120.

It is not an unprimeable number, because it can be changed into a prime (554153129) 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 7 ways as a sum of consecutive naturals, for example, 22730 + ... + 40310.

Almost surely, 2554153120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 554153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657953604).

554153120 is an abundant number, since it is smaller than the sum of its proper divisors (761754088).

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

554153120 is a wasteful number, since it uses less digits than its factorization.

554153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17793 (or 17785 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 554153120 is about 23540.4570898698. The cubic root of 554153120 is about 821.3783678526.

The spelling of 554153120 in words is "five hundred fifty-four million, one hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 197 394 788 985 1576 1970 3152 3940 6304 7880 15760 17581 31520 35162 70324 87905 140648 175810 281296 351620 562592 703240 1406480 2812960 3463457 6926914 13853828 17317285 27707656 34634570 55415312 69269140 110830624 138538280 277076560 554153120