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2520605430 = 232579974013
BaseRepresentation
bin1001011000111101…
…0110001011110110
320111122222000121200
42112033112023312
520130233333210
61054041153330
7116314535610
oct22617261366
96448860550
102520605430
1110838a8192
125a418b846
13312295305
1419ca95db0
15eb44b0c0
hex963d62f6

2520605430 has 96 divisors (see below), whose sum is σ = 7499179584. Its totient is φ = 575417088.

The previous prime is 2520605411. The next prime is 2520605491. The reversal of 2520605430 is 345060252.

2520605430 is a `hidden beast` number, since 2 + 5 + 20 + 605 + 4 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2520605394 and 2520605403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626104 + ... + 630116.

It is an arithmetic number, because the mean of its divisors is an integer number (78116454).

Almost surely, 22520605430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2520605430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749589792).

2520605430 is an abundant number, since it is smaller than the sum of its proper divisors (4978574154).

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

2520605430 is a wasteful number, since it uses less digits than its factorization.

2520605430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2520605430 is about 50205.6314570388. The cubic root of 2520605430 is about 1360.9273933398.

Adding to 2520605430 its reverse (345060252), we get a palindrome (2865665682).

It can be divided in two parts, 2520 and 605430, that multiplied together give a square (1525683600 = 390602).

The spelling of 2520605430 in words is "two billion, five hundred twenty million, six hundred five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 997 1994 2991 4013 4985 5982 6979 8026 8973 9970 12039 13958 14955 17946 20065 20937 24078 28091 29910 34895 36117 40130 41874 44865 56182 60195 62811 69790 72234 84273 89730 104685 120390 125622 140455 168546 180585 209370 252819 280910 314055 361170 421365 505638 628110 842730 1264095 2528190 4000961 8001922 12002883 20004805 24005766 28006727 36008649 40009610 56013454 60014415 72017298 84020181 120028830 140033635 168040362 180043245 252060543 280067270 360086490 420100905 504121086 840201810 1260302715 2520605430