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5315143200 = 253522976367
BaseRepresentation
bin1001111001100111…
…01010011000100000
3111201102101020202120
410330303222120200
541341134040300
62235225544240
7245466654213
oct47463523040
914642336676
105315143200
112288294834
121044045080
1366922c263
14385c9777a
152119573a0
hex13ccea620

5315143200 has 144 divisors (see below), whose sum is σ = 17897604480. Its totient is φ = 1368478720.

The previous prime is 5315143189. The next prime is 5315143243. The reversal of 5315143200 is 23415135.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31417 + ... + 107783.

It is an arithmetic number, because the mean of its divisors is an integer number (124288920).

Almost surely, 25315143200 is an apocalyptic number.

5315143200 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 5315143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8948802240).

5315143200 is an abundant number, since it is smaller than the sum of its proper divisors (12582461280).

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

5315143200 is a wasteful number, since it uses less digits than its factorization.

5315143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76419 (or 76406 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5315143200 is about 72905.0286331471. The cubic root of 5315143200 is about 1745.1723488306.

Adding to 5315143200 its reverse (23415135), we get a palindrome (5338558335).

The spelling of 5315143200 in words is "five billion, three hundred fifteen million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 75 80 87 96 100 116 120 145 150 160 174 200 232 240 290 300 348 400 435 464 480 580 600 696 725 800 870 928 1160 1200 1392 1450 1740 2175 2320 2400 2784 2900 3480 4350 4640 5800 6960 8700 11600 13920 17400 23200 34800 69600 76367 152734 229101 305468 381835 458202 610936 763670 916404 1145505 1221872 1527340 1832808 1909175 2214643 2291010 2443744 3054680 3665616 3818350 4429286 4582020 5727525 6109360 6643929 7331232 7636700 8858572 9164040 11073215 11455050 12218720 13287858 15273400 17717144 18328080 22146430 22910100 26575716 30546800 33219645 35434288 36656160 44292860 45820200 53151432 55366075 61093600 66439290 70868576 88585720 91640400 106302864 110732150 132878580 166098225 177171440 183280800 212605728 221464300 265757160 332196450 354342880 442928600 531514320 664392900 885857200 1063028640 1328785800 1771714400 2657571600 5315143200