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5103042400 = 255213014903
BaseRepresentation
bin1001100000010101…
…00011111101100000
3111011122021102011101
410300022203331200
540422334324100
62202211524144
7240313100431
oct46012437540
914148242141
105103042400
112189597315
12ba4bb9654
136342c9121
14365a45488
151ed00c86a
hex1302a3f60

5103042400 has 72 divisors (see below), whose sum is σ = 12469920624. Its totient is φ = 2039232000.

The previous prime is 5103042359. The next prime is 5103042419. The reversal of 5103042400 is 42403015.

It is a congruent number.

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, 1038349 + ... + 1043251.

It is an arithmetic number, because the mean of its divisors is an integer number (173193342).

Almost surely, 25103042400 is an apocalyptic number.

5103042400 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 5103042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6234960312).

5103042400 is an abundant number, since it is smaller than the sum of its proper divisors (7366878224).

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

5103042400 is a wasteful number, since it uses less digits than its factorization.

5103042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6224 (or 6211 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 5103042400 is about 71435.5821702322. The cubic root of 5103042400 is about 1721.6428327525.

Adding to 5103042400 its reverse (42403015), we get a palindrome (5145445415).

The spelling of 5103042400 in words is "five billion, one hundred three million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1301 2602 4903 5204 6505 9806 10408 13010 19612 20816 24515 26020 32525 39224 41632 49030 52040 65050 78448 98060 104080 122575 130100 156896 196120 208160 245150 260200 392240 490300 520400 784480 980600 1040800 1961200 3922400 6378803 12757606 25515212 31894015 51030424 63788030 102060848 127576060 159470075 204121696 255152120 318940150 510304240 637880300 1020608480 1275760600 2551521200 5103042400