Search a number
-
+
5366893000 = 235371276037
BaseRepresentation
bin1001111111110010…
…00100100111001000
3111212000202102010211
410333321010213020
541442411034000
62244315050504
7246665560240
oct47771044710
914760672124
105366893000
112304520167
121059440a34
13676b7ac41
1438cac8b20
1521627a7ba
hex13fe449c8

5366893000 has 128 divisors (see below), whose sum is σ = 14468014080. Its totient is φ = 1825286400.

The previous prime is 5366892997. The next prime is 5366893001. The reversal of 5366893000 is 3986635.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5366893001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 885982 + ... + 892018.

It is an arithmetic number, because the mean of its divisors is an integer number (113031360).

Almost surely, 25366893000 is an apocalyptic number.

5366893000 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 5366893000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7234007040).

5366893000 is an abundant number, since it is smaller than the sum of its proper divisors (9101121080).

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

5366893000 is a wasteful number, since it uses less digits than its factorization.

5366893000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6192 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 5366893000 is about 73259.0813483216. The cubic root of 5366893000 is about 1750.8179033885.

The spelling of 5366893000 in words is "five billion, three hundred sixty-six million, eight hundred ninety-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 127 140 175 200 250 254 280 350 500 508 635 700 875 889 1000 1016 1270 1400 1750 1778 2540 3175 3500 3556 4445 5080 6037 6350 7000 7112 8890 12074 12700 15875 17780 22225 24148 25400 30185 31750 35560 42259 44450 48296 60370 63500 84518 88900 111125 120740 127000 150925 169036 177800 211295 222250 241480 301850 338072 422590 444500 603700 754625 766699 845180 889000 1056475 1207400 1509250 1533398 1690360 2112950 3018500 3066796 3833495 4225900 5282375 5366893 6037000 6133592 7666990 8451800 10564750 10733786 15333980 19167475 21129500 21467572 26834465 30667960 38334950 42259000 42935144 53668930 76669900 95837375 107337860 134172325 153339800 191674750 214675720 268344650 383349500 536689300 670861625 766699000 1073378600 1341723250 2683446500 5366893000