Search a number
-
+
2500111040 = 26572348527
BaseRepresentation
bin1001010100000100…
…1010101011000000
320110020101210121012
42111001022223000
520110012023130
61052030020052
7115645410320
oct22501125300
96406353535
102500111040
11107327a479
12599347628
1330ac6ab5b
1419a07d280
15e974d995
hex9504aac0

2500111040 has 112 divisors (see below), whose sum is σ = 7099840512. Its totient is φ = 819895296.

The previous prime is 2500111037. The next prime is 2500111051. The reversal of 2500111040 is 401110052.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×25001110403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27257 + ... + 75783.

Almost surely, 22500111040 is an apocalyptic number.

2500111040 is a gapful number since it is divisible by the number (20) 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 2500111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549920256).

2500111040 is an abundant number, since it is smaller than the sum of its proper divisors (4599729472).

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

2500111040 is a wasteful number, since it uses less digits than its factorization.

2500111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48574 (or 48564 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 2500111040 is about 50001.1103876704. The cubic root of 2500111040 is about 1357.2289019288.

Adding to 2500111040 its reverse (401110052), we get a palindrome (2901221092).

The spelling of 2500111040 in words is "two billion, five hundred million, one hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 140 160 161 184 224 230 280 320 322 368 448 460 560 644 736 805 920 1120 1288 1472 1610 1840 2240 2576 3220 3680 5152 6440 7360 10304 12880 25760 48527 51520 97054 194108 242635 339689 388216 485270 679378 776432 970540 1116121 1358756 1552864 1698445 1941080 2232242 2717512 3105728 3396890 3882160 4464484 5435024 5580605 6793780 7764320 7812847 8928968 10870048 11161210 13587560 15528640 15625694 17857936 21740096 22322420 27175120 31251388 35715872 39064235 44644840 54350240 62502776 71431744 78128470 89289680 108700480 125005552 156256940 178579360 250011104 312513880 357158720 500022208 625027760 1250055520 2500111040