Search a number
-
+
553201040 = 24572414099
BaseRepresentation
bin100000111110010…
…010110110010000
31102112221112011102
4200332102312100
52113104413130
6130521003532
716465063010
oct4076226620
91375845142
10553201040
112642a4147
121353235a8
138a7c14c2
1453683c40
1533876645
hex20f92d90

553201040 has 80 divisors (see below), whose sum is σ = 1476393600. Its totient is φ = 188835840.

The previous prime is 553201039. The next prime is 553201073. The reversal of 553201040 is 40102355.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 132911 + ... + 137009.

It is an arithmetic number, because the mean of its divisors is an integer number (18454920).

Almost surely, 2553201040 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 553201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738196800).

553201040 is an abundant number, since it is smaller than the sum of its proper divisors (923192560).

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

553201040 is a wasteful number, since it uses less digits than its factorization.

553201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 553201040 is about 23520.2261893886. The cubic root of 553201040 is about 820.9076999855.

Adding to 553201040 its reverse (40102355), we get a palindrome (593303395).

The spelling of 553201040 in words is "five hundred fifty-three million, two hundred one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 241 280 482 560 964 1205 1687 1928 2410 3374 3856 4099 4820 6748 8198 8435 9640 13496 16396 16870 19280 20495 26992 28693 32792 33740 40990 57386 65584 67480 81980 114772 134960 143465 163960 229544 286930 327920 459088 573860 987859 1147720 1975718 2295440 3951436 4939295 6915013 7902872 9878590 13830026 15805744 19757180 27660052 34575065 39514360 55320104 69150130 79028720 110640208 138300260 276600520 553201040