Search a number
-
+
2405263640 = 2351323832423
BaseRepresentation
bin1000111101011101…
…0110100100011000
320012121221001102112
42033113112210120
514411221414030
61034401051452
7113414255303
oct21727264430
96177831375
102405263640
11102478819a
12571626b88
132c440c730
1418b62db3a
15e1265a95
hex8f5d6918

2405263640 has 128 divisors (see below), whose sum is σ = 6157347840. Its totient is φ = 838903296.

The previous prime is 2405263613. The next prime is 2405263667. The reversal of 2405263640 is 463625042.

2405263640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2405263613) and next prime (2405263667).

It is a junction number, because it is equal to n+sod(n) for n = 2405263597 and 2405263606.

It is a congruent number.

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, 991469 + ... + 993891.

It is an arithmetic number, because the mean of its divisors is an integer number (48104280).

Almost surely, 22405263640 is an apocalyptic number.

2405263640 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 2405263640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078673920).

2405263640 is an abundant number, since it is smaller than the sum of its proper divisors (3752084200).

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

2405263640 is a wasteful number, since it uses less digits than its factorization.

2405263640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 2405263640 is about 49043.4872332708. The cubic root of 2405263640 is about 1339.8439782702.

Adding to 2405263640 its reverse (463625042), we get a palindrome (2868888682).

The spelling of 2405263640 in words is "two billion, four hundred five million, two hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 83 92 104 115 130 166 184 230 260 299 332 415 460 520 598 664 830 920 1079 1196 1495 1660 1909 2158 2392 2423 2990 3320 3818 4316 4846 5395 5980 7636 8632 9545 9692 10790 11960 12115 15272 19090 19384 21580 24230 24817 31499 38180 43160 48460 49634 55729 62998 76360 96920 99268 111458 124085 125996 157495 198536 201109 222916 248170 251992 278645 314990 402218 445832 496340 557290 629980 724477 804436 992680 1005545 1114580 1259960 1448954 1608872 2011090 2229160 2614417 2897908 3622385 4022180 4625507 5228834 5795816 7244770 8044360 9251014 10457668 13072085 14489540 18502028 20915336 23127535 26144170 28979080 37004056 46255070 52288340 60131591 92510140 104576680 120263182 185020280 240526364 300657955 481052728 601315910 1202631820 2405263640