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2424254520 = 23351011391439
BaseRepresentation
bin1001000001111111…
…0011000000111000
320020221122220000110
42100133303000320
514431102121040
61040320104320
7114034552302
oct22037630070
96227586013
102424254520
111034479336
12577a650a0
132c832b73c
1418dd74972
15e2c67980
hex907f3038

2424254520 has 128 divisors (see below), whose sum is σ = 7402752000. Its totient is φ = 635020800.

The previous prime is 2424254513. The next prime is 2424254527. The reversal of 2424254520 is 254524242.

It is an interprime number because it is at equal distance from previous prime (2424254513) and next prime (2424254527).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424254527) 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, 1683961 + ... + 1685399.

It is an arithmetic number, because the mean of its divisors is an integer number (57834000).

Almost surely, 22424254520 is an apocalyptic number.

2424254520 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 2424254520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701376000).

2424254520 is an abundant number, since it is smaller than the sum of its proper divisors (4978497480).

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

2424254520 is a wasteful number, since it uses less digits than its factorization.

2424254520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 2424254520 is about 49236.7192245787. The cubic root of 2424254520 is about 1343.3610066538.

Adding to 2424254520 its reverse (254524242), we get a palindrome (2678778762).

The spelling of 2424254520 in words is "two billion, four hundred twenty-four million, two hundred fifty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 139 202 278 303 404 417 505 556 606 695 808 834 1010 1112 1212 1390 1439 1515 1668 2020 2085 2424 2780 2878 3030 3336 4040 4170 4317 5560 5756 6060 7195 8340 8634 11512 12120 14039 14390 16680 17268 21585 28078 28780 34536 42117 43170 56156 57560 70195 84234 86340 112312 140390 145339 168468 172680 200021 210585 280780 290678 336936 400042 421170 436017 561560 581356 600063 726695 800084 842340 872034 1000105 1162712 1200126 1453390 1600168 1684680 1744068 2000210 2180085 2400252 2906780 3000315 3488136 4000420 4360170 4800504 5813560 6000630 8000840 8720340 12001260 17440680 20202121 24002520 40404242 60606363 80808484 101010605 121212726 161616968 202021210 242425452 303031815 404042420 484850904 606063630 808084840 1212127260 2424254520