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2105354430 = 23552932957
BaseRepresentation
bin111110101111101…
…0010100010111110
312102201121002100000
41331133102202332
513302432320210
6544525015130
7103113134364
oct17537224276
95381532300
102105354430
11990465a43
124a90b44a6
1327724406a
1415d881634
15c4c73ac0
hex7d7d28be

2105354430 has 96 divisors (see below), whose sum is σ = 5697959904. Its totient is φ = 559322496.

The previous prime is 2105354401. The next prime is 2105354453. The reversal of 2105354430 is 344535012.

2105354430 is a `hidden beast` number, since 210 + 5 + 3 + 5 + 443 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2105354394 and 2105354403.

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, 710512 + ... + 713468.

It is an arithmetic number, because the mean of its divisors is an integer number (59353749).

Almost surely, 22105354430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105354430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848979952).

2105354430 is an abundant number, since it is smaller than the sum of its proper divisors (3592605474).

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

2105354430 is a wasteful number, since it uses less digits than its factorization.

2105354430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3260 counting only the distinct ones).

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

The square root of 2105354430 is about 45884.1413780404. The cubic root of 2105354430 is about 1281.6666177024. Note that the first 4 decimals are identical.

Adding to 2105354430 its reverse (344535012), we get a palindrome (2449889442).

The spelling of 2105354430 in words is "two billion, one hundred five million, three hundred fifty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 293 405 486 586 810 879 1215 1465 1758 2430 2637 2930 2957 4395 5274 5914 7911 8790 8871 13185 14785 15822 17742 23733 26370 26613 29570 39555 44355 47466 53226 71199 79110 79839 88710 118665 133065 142398 159678 237330 239517 266130 355995 399195 479034 711990 718551 798390 866401 1197585 1437102 1732802 2395170 2599203 3592755 4332005 5198406 7185510 7797609 8664010 12996015 15595218 23392827 25992030 38988045 46785654 70178481 77976090 116964135 140356962 210535443 233928270 350892405 421070886 701784810 1052677215 2105354430