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5403201000 = 233531994793
BaseRepresentation
bin1010000100000111…
…00100110111101000
3111221120002001100120
411002003210313220
542031204413000
62252053203240
7250616310411
oct50203446750
914846061316
105403201000
112322a6997a
121069630520
13681551172
1439385a808
1521954d6a0
hex1420e4de8

5403201000 has 128 divisors (see below), whose sum is σ = 17745436800. Its totient is φ = 1365004800.

The previous prime is 5403200977. The next prime is 5403201007. The reversal of 5403201000 is 1023045.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (5403201007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9604 + ... + 104396.

It is an arithmetic number, because the mean of its divisors is an integer number (138636225).

Almost surely, 25403201000 is an apocalyptic number.

5403201000 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 5403201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8872718400).

5403201000 is an abundant number, since it is smaller than the sum of its proper divisors (12342235800).

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

5403201000 is a wasteful number, since it uses less digits than its factorization.

5403201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94836 (or 94822 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5403201000 is about 73506.4691030660. The cubic root of 5403201000 is about 1754.7572330005.

Adding to 5403201000 its reverse (1023045), we get a palindrome (5404224045).

It can be divided in two parts, 540320 and 1000, that added together give a triangular number (541320 = T1040).

The spelling of 5403201000 in words is "five billion, four hundred three million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 57000 94793 189586 284379 379172 473965 568758 758344 947930 1137516 1421895 1801067 1895860 2275032 2369825 2843790 3602134 3791720 4739650 5403201 5687580 7109475 7204268 9005335 9479300 10806402 11375160 11849125 14218950 14408536 18010670 18958600 21612804 23698250 27016005 28437900 35547375 36021340 43225608 45026675 47396500 54032010 56875800 71094750 72042680 90053350 94793000 108064020 135080025 142189500 180106700 216128040 225133375 270160050 284379000 360213400 450266750 540320100 675400125 900533500 1080640200 1350800250 1801067000 2701600500 5403201000