Search a number
-
+
5328766300 = 225211131911951
BaseRepresentation
bin1001111011001111…
…01000010101011100
3111202101000101010211
410331213220111130
541403131010200
62240433542204
7246023523544
oct47547502534
914671011124
105328766300
112294a49aa0
121048714964
1366bcbbc70
14387a02324
15212c48aba
hex13d9e855c

5328766300 has 144 divisors (see below), whose sum is σ = 13663125504. Its totient is φ = 1778400000.

The previous prime is 5328766279. The next prime is 5328766309. The reversal of 5328766300 is 36678235.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (5328766309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2730325 + ... + 2732275.

It is an arithmetic number, because the mean of its divisors is an integer number (94882816).

Almost surely, 25328766300 is an apocalyptic number.

5328766300 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 5328766300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831562752).

5328766300 is an abundant number, since it is smaller than the sum of its proper divisors (8334359204).

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

5328766300 is a wasteful number, since it uses less digits than its factorization.

5328766300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 5328766300 is about 72998.3992975188. The cubic root of 5328766300 is about 1746.6620781659.

The spelling of 5328766300 in words is "five billion, three hundred twenty-eight million, seven hundred sixty-six thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 191 220 260 275 286 325 382 550 572 650 715 764 955 1100 1300 1430 1910 1951 2101 2483 2860 3575 3820 3902 4202 4775 4966 7150 7804 8404 9550 9755 9932 10505 12415 14300 19100 19510 21010 21461 24830 25363 27313 39020 42020 42922 48775 49660 50726 52525 54626 62075 85844 97550 101452 105050 107305 109252 124150 126815 136565 195100 210100 214610 248300 253630 273130 278993 372641 429220 507260 536525 546260 557986 634075 682825 745282 1073050 1115972 1268150 1365650 1394965 1490564 1863205 2146100 2536300 2731300 2789930 3726410 4099051 4844333 5579860 6974825 7452820 8198102 9316025 9688666 13949650 16396204 18632050 19377332 20495255 24221665 27899300 37264100 40990510 48443330 53287663 81981020 96886660 102476275 106575326 121108325 204952550 213150652 242216650 266438315 409905100 484433300 532876630 1065753260 1332191575 2664383150 5328766300