Search a number
-
+
554054340 = 2235711171181
BaseRepresentation
bin100001000001100…
…011001011000100
31102121112212200010
4201001203023010
52113314214330
6130551150220
716505245530
oct4101431304
91377485603
10554054340
11264827254
12135675370
138aa2ca08
1453826bc0
15339943b0
hex210632c4

554054340 has 96 divisors (see below), whose sum is σ = 1776063744. Its totient is φ = 126420480.

The previous prime is 554054339. The next prime is 554054353. The reversal of 554054340 is 43450455.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 554054298 and 554054307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468550 + ... + 469730.

It is an arithmetic number, because the mean of its divisors is an integer number (18500664).

Almost surely, 2554054340 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 554054340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888031872).

554054340 is an abundant number, since it is smaller than the sum of its proper divisors (1222009404).

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

554054340 is a wasteful number, since it uses less digits than its factorization.

554054340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 554054340 is about 23538.3589062619. The cubic root of 554054340 is about 821.3295602977.

The spelling of 554054340 in words is "five hundred fifty-four million, fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1117 1181 2234 2362 3351 3543 4468 4724 5585 5905 6702 7086 7819 8267 11170 11810 13404 14172 15638 16534 16755 17715 22340 23457 23620 24801 31276 33068 33510 35430 39095 41335 46914 49602 67020 70860 78190 82670 93828 99204 117285 124005 156380 165340 234570 248010 469140 496020 1319177 2638354 3957531 5276708 6595885 7915062 9234239 13191770 15830124 18468478 19787655 26383540 27702717 36936956 39575310 46171195 55405434 79150620 92342390 110810868 138513585 184684780 277027170 554054340