[go: up one dir, main page]

Search a number
-
+
4300117696 = 26721972169
BaseRepresentation
bin1000000000100111…
…01001011011000000
3102002200102121112101
410000103221123000
532301312231241
61550410240144
7211363253200
oct40023513300
912080377471
104300117696
111907339086
12a00126054
13536b60c54
142cb158400
151a27a8e31
hex1004e96c0

4300117696 has 84 divisors (see below), whose sum is σ = 10448772600. Its totient is φ = 1745888256.

The previous prime is 4300117673. The next prime is 4300117699. The reversal of 4300117696 is 6967110034.

It is not an unprimeable number, because it can be changed into a prime (4300117699) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23500 + ... + 95668.

It is an arithmetic number, because the mean of its divisors is an integer number (124390150).

Almost surely, 24300117696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4300117696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224386300).

4300117696 is an abundant number, since it is smaller than the sum of its proper divisors (6148654904).

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

4300117696 is a wasteful number, since it uses less digits than its factorization.

4300117696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72214 (or 72197 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 4300117696 is about 65575.2826604659. The cubic root of 4300117696 is about 1626.1481679305.

The spelling of 4300117696 in words is "four billion, three hundred million, one hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 133 152 196 224 266 304 392 448 532 608 784 931 1064 1216 1568 1862 2128 3136 3724 4256 7448 8512 14896 29792 59584 72169 144338 288676 505183 577352 1010366 1154704 1371211 2020732 2309408 2742422 3536281 4041464 4618816 5484844 7072562 8082928 9598477 10969688 14145124 16165856 19196954 21939376 28290248 32331712 38393908 43878752 56580496 67189339 76787816 87757504 113160992 134378678 153575632 226321984 268757356 307151264 537514712 614302528 1075029424 2150058848 4300117696