Search a number
-
+
5207364720 = 2433510722531
BaseRepresentation
bin1001101100110001…
…00001010001110000
3111102220120112111000
410312120201101300
541131041132340
62220415522000
7243020604225
oct46630412160
914386515430
105207364720
112232470208
121013b29300
1364cac40cc
1437583d94c
15207267d30
hex136621470

5207364720 has 160 divisors (see below), whose sum is σ = 18104912640. Its totient is φ = 1375591680.

The previous prime is 5207364697. The next prime is 5207364727. The reversal of 5207364720 is 274637025.

It is a happy number.

5207364720 is a `hidden beast` number, since 5 + 2 + 0 + 7 + 3 + 647 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5207364727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 219855 + ... + 242385.

It is an arithmetic number, because the mean of its divisors is an integer number (113155704).

Almost surely, 25207364720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5207364720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9052456320).

5207364720 is an abundant number, since it is smaller than the sum of its proper divisors (12897547920).

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

5207364720 is a wasteful number, since it uses less digits than its factorization.

5207364720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22660 (or 22648 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 5207364720 is about 72162.0725866435. The cubic root of 5207364720 is about 1733.2957233786.

The spelling of 5207364720 in words is "five billion, two hundred seven million, three hundred sixty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 107 108 120 135 144 180 214 216 240 270 321 360 428 432 535 540 642 720 856 963 1070 1080 1284 1605 1712 1926 2140 2160 2568 2889 3210 3852 4280 4815 5136 5778 6420 7704 8560 9630 11556 12840 14445 15408 19260 22531 23112 25680 28890 38520 45062 46224 57780 67593 77040 90124 112655 115560 135186 180248 202779 225310 231120 270372 337965 360496 405558 450620 540744 608337 675930 811116 901240 1013895 1081488 1216674 1351860 1622232 1802480 2027790 2410817 2433348 2703720 3041685 3244464 4055580 4821634 4866696 5407440 6083370 7232451 8111160 9643268 9733392 12054085 12166740 14464902 16222320 19286536 21697353 24108170 24333480 28929804 36162255 38573072 43394706 48216340 48666960 57859608 65092059 72324510 86789412 96432680 108486765 115719216 130184118 144649020 173578824 192865360 216973530 260368236 289298040 325460295 347157648 433947060 520736472 578596080 650920590 867894120 1041472944 1301841180 1735788240 2603682360 5207364720