Search a number
-
+
5340984096 = 253710097877
BaseRepresentation
bin1001111100101100…
…01111001100100000
3111210020000002210210
410332112033030200
541414242442341
62241551454120
7246232421130
oct47626171440
914706002723
105340984096
1122a0934448
121050827340
136716a9126
143894a2ac0
15213d5dc16
hex13e58f320

5340984096 has 96 divisors (see below), whose sum is σ = 16040868480. Its totient is φ = 1524289536.

The previous prime is 5340984029. The next prime is 5340984097. The reversal of 5340984096 is 6904890435.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×53409840962 = 57052222227449874432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5340984097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674110 + ... + 681986.

It is an arithmetic number, because the mean of its divisors is an integer number (167092380).

Almost surely, 25340984096 is an apocalyptic number.

5340984096 is a gapful number since it is divisible by the number (56) 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 5340984096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020434240).

5340984096 is an abundant number, since it is smaller than the sum of its proper divisors (10699884384).

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

5340984096 is a wasteful number, since it uses less digits than its factorization.

5340984096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8906 (or 8898 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 5340984096 is about 73082.0367532268. The cubic root of 5340984096 is about 1747.9959749046.

The spelling of 5340984096 in words is "five billion, three hundred forty million, nine hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1009 2018 3027 4036 6054 7063 7877 8072 12108 14126 15754 16144 21189 23631 24216 28252 31508 32288 42378 47262 48432 55139 56504 63016 84756 94524 96864 110278 113008 126032 165417 169512 189048 220556 226016 252064 330834 339024 378096 441112 661668 678048 756192 882224 1323336 1764448 2646672 5293344 7947893 15895786 23843679 31791572 47687358 55635251 63583144 95374716 111270502 127166288 166905753 190749432 222541004 254332576 333811506 381498864 445082008 667623012 762997728 890164016 1335246024 1780328032 2670492048 5340984096