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2102435720 = 2357114116649
BaseRepresentation
bin111110101010000…
…1001111110001000
312102112002210121122
41331110021332020
513301210420340
6544342254412
7103046260130
oct17524117610
95375083548
102102435720
11989852090
124a8127408
13276761708
1415d321ac0
15c4898db5
hex7d509f88

2102435720 has 128 divisors (see below), whose sum is σ = 6041952000. Its totient is φ = 639283200.

The previous prime is 2102435669. The next prime is 2102435723. The reversal of 2102435720 is 275342012.

It is a self number, because there is not a number n which added to its sum of digits gives 2102435720.

It is not an unprimeable number, because it can be changed into a prime (2102435723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117956 + ... + 134604.

It is an arithmetic number, because the mean of its divisors is an integer number (47202750).

Almost surely, 22102435720 is an apocalyptic number.

2102435720 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 2102435720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020976000).

2102435720 is an abundant number, since it is smaller than the sum of its proper divisors (3939516280).

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

2102435720 is a wasteful number, since it uses less digits than its factorization.

2102435720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16719 (or 16715 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 2102435720 is about 45852.3251318840. The cubic root of 2102435720 is about 1281.0740740564.

Adding to 2102435720 its reverse (275342012), we get a palindrome (2377777732).

The spelling of 2102435720 in words is "two billion, one hundred two million, four hundred thirty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 41 44 55 56 70 77 82 88 110 140 154 164 205 220 280 287 308 328 385 410 440 451 574 616 770 820 902 1148 1435 1540 1640 1804 2255 2296 2870 3080 3157 3608 4510 5740 6314 9020 11480 12628 15785 16649 18040 25256 31570 33298 63140 66596 83245 116543 126280 133192 166490 183139 233086 332980 366278 466172 582715 665960 682609 732556 915695 932344 1165430 1281973 1365218 1465112 1831390 2330860 2563946 2730436 3413045 3662780 4661720 4778263 5127892 5460872 6409865 6826090 7325560 7508699 9556526 10255784 12819730 13652180 15017398 19113052 23891315 25639460 27304360 30034796 37543495 38226104 47782630 51278920 52560893 60069592 75086990 95565260 105121786 150173980 191130520 210243572 262804465 300347960 420487144 525608930 1051217860 2102435720