Search a number
-
+
2421234520 = 235171072311
BaseRepresentation
bin1001000001010001…
…0001101101011000
320020201222110100121
42100110101231120
514424314001040
61040131243024
7114000103525
oct22024215530
96221873317
102421234520
1110327a6371
12576a49474
132c7811c63
1418d7ca14c
15e286cc4a
hex90511b58

2421234520 has 96 divisors (see below), whose sum is σ = 5841370080. Its totient is φ = 900101120.

The previous prime is 2421234511. The next prime is 2421234547. The reversal of 2421234520 is 254321242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7785165 + ... + 7785475.

It is an arithmetic number, because the mean of its divisors is an integer number (60847605).

Almost surely, 22421234520 is an apocalyptic number.

2421234520 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 2421234520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920685040).

2421234520 is an abundant number, since it is smaller than the sum of its proper divisors (3420135560).

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

2421234520 is a wasteful number, since it uses less digits than its factorization.

2421234520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2421234520 is about 49206.0414989867. The cubic root of 2421234520 is about 1342.8029469817.

Adding to 2421234520 its reverse (254321242), we get a palindrome (2675555762).

The spelling of 2421234520 in words is "two billion, four hundred twenty-one million, two hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 107 136 170 214 311 340 428 535 622 680 856 1070 1244 1555 1819 2140 2488 3110 3638 4280 5287 6220 7276 9095 10574 11449 12440 14552 18190 21148 22898 26435 33277 36380 42296 45796 52870 57245 66554 72760 91592 105740 114490 133108 166385 194633 211480 228980 266216 332770 389266 457960 565709 665540 778532 973165 1131418 1331080 1557064 1946330 2262836 2828545 3560639 3892660 4525672 5657090 7121278 7785320 11314180 14242556 17803195 22628360 28485112 35606390 60530863 71212780 121061726 142425560 242123452 302654315 484246904 605308630 1210617260 2421234520