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5315104000 = 28531631019
BaseRepresentation
bin1001111001100111…
…00000110100000000
3111201102022020222201
410330303200310000
541341131312000
62235225042544
7245466432013
oct47463406400
914642266881
105315104000
112288268338
121044026454
1366921746b
14385c8737a
1521194a96a
hex13cce0d00

5315104000 has 144 divisors (see below), whose sum is σ = 13334892480. Its totient is φ = 2110924800.

The previous prime is 5315103991. The next prime is 5315104013. The reversal of 5315104000 is 4015135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5215491 + ... + 5216509.

It is an arithmetic number, because the mean of its divisors is an integer number (92603420).

Almost surely, 25315104000 is an apocalyptic number.

5315104000 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 5315104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667446240).

5315104000 is an abundant number, since it is smaller than the sum of its proper divisors (8019788480).

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

5315104000 is a wasteful number, since it uses less digits than its factorization.

5315104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 5315104000 is about 72904.7597897421. The cubic root of 5315104000 is about 1745.1680585151.

Adding to 5315104000 its reverse (4015135), we get a palindrome (5319119135).

The spelling of 5315104000 in words is "five billion, three hundred fifteen million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 163 200 250 256 320 326 400 500 640 652 800 815 1000 1019 1280 1304 1600 1630 2000 2038 2608 3200 3260 4000 4075 4076 5095 5216 6400 6520 8000 8150 8152 10190 10432 13040 16000 16300 16304 20375 20380 20864 25475 26080 32000 32600 32608 40750 40760 41728 50950 52160 65200 65216 81500 81520 101900 104320 127375 130400 130432 163000 163040 166097 203800 208640 254750 260800 260864 326000 326080 332194 407600 509500 521600 652000 652160 664388 815200 830485 1019000 1043200 1304000 1304320 1328776 1630400 1660970 2038000 2608000 2657552 3260800 3321940 4076000 4152425 5216000 5315104 6521600 6643880 8152000 8304850 10630208 13287760 16304000 16609700 20762125 21260416 26575520 32608000 33219400 41524250 42520832 53151040 66438800 83048500 106302080 132877600 166097000 212604160 265755200 332194000 531510400 664388000 1063020800 1328776000 2657552000 5315104000