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5303130400 = 25526798939
BaseRepresentation
bin1001111000001011…
…10101100100100000
3111200120202221022001
410330011311210200
541330100133100
62234120253344
7245262602401
oct47405654440
914616687261
105303130400
11228152a3a7
121040011254
136668b44a9
1438444b9a8
15210882d6a
hex13c175920

5303130400 has 72 divisors (see below), whose sum is σ = 13139627760. Its totient is φ = 2089570560.

The previous prime is 5303130379. The next prime is 5303130421. The reversal of 5303130400 is 40313035.

It is an interprime number because it is at equal distance from previous prime (5303130379) and next prime (5303130421).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4131 + ... + 103069.

It is an arithmetic number, because the mean of its divisors is an integer number (182494830).

Almost surely, 25303130400 is an apocalyptic number.

5303130400 is a gapful number since it is divisible by the number (50) 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 5303130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6569813880).

5303130400 is an abundant number, since it is smaller than the sum of its proper divisors (7836497360).

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

5303130400 is a wasteful number, since it uses less digits than its factorization.

5303130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99026 (or 99013 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 5303130400 is about 72822.5953945614. The cubic root of 5303130400 is about 1743.8565975010.

Adding to 5303130400 its reverse (40313035), we get a palindrome (5343443435).

The spelling of 5303130400 in words is "five billion, three hundred three million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 67 80 100 134 160 200 268 335 400 536 670 800 1072 1340 1675 2144 2680 3350 5360 6700 10720 13400 26800 53600 98939 197878 395756 494695 791512 989390 1583024 1978780 2473475 3166048 3957560 4946950 6628913 7915120 9893900 13257826 15830240 19787800 26515652 33144565 39575600 53031304 66289130 79151200 106062608 132578260 165722825 212125216 265156520 331445650 530313040 662891300 1060626080 1325782600 2651565200 5303130400