Search a number
-
+
554132480 = 2105119839
BaseRepresentation
bin100001000001110…
…110010000000000
31102121200211212012
4201001312100000
52113324214410
6130552552052
716506022406
oct4101662000
91377624765
10554132480
1126487aa30
121356b2628
138aa59455
1453847476
15339ac605
hex21076400

554132480 has 88 divisors (see below), whose sum is σ = 1450258560. Its totient is φ = 201482240.

The previous prime is 554132431. The next prime is 554132497. The reversal of 554132480 is 84231455.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51401 + ... + 61239.

Almost surely, 2554132480 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 554132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725129280).

554132480 is an abundant number, since it is smaller than the sum of its proper divisors (896126080).

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

554132480 is a wasteful number, since it uses less digits than its factorization.

554132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9875 (or 9857 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 554132480 is about 23540.0186915814. The cubic root of 554132480 is about 821.3681700334.

The spelling of 554132480 in words is "five hundred fifty-four million, one hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2816 3520 5120 5632 7040 9839 11264 14080 19678 28160 39356 49195 56320 78712 98390 108229 157424 196780 216458 314848 393560 432916 541145 629696 787120 865832 1082290 1259392 1574240 1731664 2164580 2518784 3148480 3463328 4329160 5037568 6296960 6926656 8658320 10075136 12593920 13853312 17316640 25187840 27706624 34633280 50375680 55413248 69266560 110826496 138533120 277066240 554132480