Search a number
-
+
2420516436 = 22313292272357
BaseRepresentation
bin1001000001000110…
…0010011001010100
320020200121222022220
42100101202121110
514424123011221
61040104022340
7113661023142
oct22021423124
96220558286
102420516436
111032355908
125767619b0
132c7620160
1418d680592
15e277a0c6
hex90462654

2420516436 has 96 divisors (see below), whose sum is σ = 6322458240. Its totient is φ = 715620864.

The previous prime is 2420516429. The next prime is 2420516447. The reversal of 2420516436 is 6346150242.

It is a super-2 number, since 2×24205164362 = 11717799633892284192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2420516397 and 2420516406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1025770 + ... + 1028126.

It is an arithmetic number, because the mean of its divisors is an integer number (65858940).

Almost surely, 22420516436 is an apocalyptic number.

2420516436 is a gapful number since it is divisible by the number (26) 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 2420516436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161229120).

2420516436 is an abundant number, since it is smaller than the sum of its proper divisors (3901941804).

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

2420516436 is a wasteful number, since it uses less digits than its factorization.

2420516436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2420516436 is about 49198.7442522673. The cubic root of 2420516436 is about 1342.6701854168.

Adding to 2420516436 its reverse (6346150242), we get a palindrome (8766666678).

The spelling of 2420516436 in words is "two billion, four hundred twenty million, five hundred sixteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 227 348 377 454 681 754 908 1131 1362 1508 2262 2357 2724 2951 4524 4714 5902 6583 7071 8853 9428 11804 13166 14142 17706 19749 26332 28284 30641 35412 39498 61282 68353 78996 85579 91923 122564 136706 171158 183846 205059 256737 273412 342316 367692 410118 513474 535039 820236 888589 1026948 1070078 1605117 1777178 2140156 2665767 3210234 3554356 5331534 6420468 6955507 10663068 13911014 15516131 20866521 27822028 31032262 41733042 46548393 62064524 83466084 93096786 186193572 201709703 403419406 605129109 806838812 1210258218 2420516436