Search a number
-
+
2620721430 = 2325234329443
BaseRepresentation
bin1001110000110101…
…0000100100010110
320202122100102221200
42130031100210112
520331401041210
61112015053330
7121641523155
oct23415204426
96678312850
102620721430
111125368888
12611811246
13329c49852
141ac0b759c
151051250c0
hex9c350916

2620721430 has 96 divisors (see below), whose sum is σ = 7275730176. Its totient is φ = 652905792.

The previous prime is 2620721351. The next prime is 2620721443. The reversal of 2620721430 is 341270262.

2620721430 is a `hidden beast` number, since 2 + 6 + 207 + 21 + 430 = 666.

It is a super-2 number, since 2×26207214302 = 13736361627322489800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2620721394 and 2620721403.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 74289 + ... + 103731.

It is an arithmetic number, because the mean of its divisors is an integer number (75788856).

Almost surely, 22620721430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2620721430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637865088).

2620721430 is an abundant number, since it is smaller than the sum of its proper divisors (4655008746).

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

2620721430 is a wasteful number, since it uses less digits than its factorization.

2620721430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29522 (or 29519 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2620721430 is about 51192.9822338961. The cubic root of 2620721430 is about 1378.7122044191.

Adding to 2620721430 its reverse (341270262), we get a palindrome (2961991692).

The spelling of 2620721430 in words is "two billion, six hundred twenty million, seven hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 43 45 46 69 86 90 115 129 138 207 215 230 258 345 387 414 430 645 690 774 989 1035 1290 1935 1978 2070 2967 3870 4945 5934 8901 9890 14835 17802 29443 29670 44505 58886 88329 89010 147215 176658 264987 294430 441645 529974 677189 883290 1266049 1324935 1354378 2031567 2532098 2649870 3385945 3798147 4063134 6094701 6330245 6771890 7596294 10157835 11394441 12189402 12660490 18990735 20315670 22788882 29119127 30473505 37981470 56972205 58238254 60947010 87357381 113944410 145595635 174714762 262072143 291191270 436786905 524144286 873573810 1310360715 2620721430