[go: up one dir, main page]

Search a number
-
+
1553152040 = 235117574663
BaseRepresentation
bin101110010010011…
…0011100000101000
311000020112022001122
41130210303200220
511140101331130
6414041234412
753326401026
oct13444634050
94006468048
101553152040
11727794130
12374192a08
131b9a1229b
1410a3bb716
15915482e5
hex5c933828

1553152040 has 64 divisors (see below), whose sum is σ = 3818136960. Its totient is φ = 563915520.

The previous prime is 1553152021. The next prime is 1553152063. The reversal of 1553152040 is 402513551.

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, 330749 + ... + 335411.

It is an arithmetic number, because the mean of its divisors is an integer number (59658390).

Almost surely, 21553152040 is an apocalyptic number.

1553152040 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 1553152040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909068480).

1553152040 is an abundant number, since it is smaller than the sum of its proper divisors (2264984920).

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

1553152040 is a wasteful number, since it uses less digits than its factorization.

1553152040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5442 (or 5438 counting only the distinct ones).

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

The square root of 1553152040 is about 39410.0499872812. The cubic root of 1553152040 is about 1158.0784775242.

Adding to 1553152040 its reverse (402513551), we get a palindrome (1955665591).

The spelling of 1553152040 in words is "one billion, five hundred fifty-three million, one hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 757 1514 3028 3785 4663 6056 7570 8327 9326 15140 16654 18652 23315 30280 33308 37304 41635 46630 51293 66616 83270 93260 102586 166540 186520 205172 256465 333080 410344 512930 1025860 2051720 3529891 7059782 14119564 17649455 28239128 35298910 38828801 70597820 77657602 141195640 155315204 194144005 310630408 388288010 776576020 1553152040