Search a number
-
+
5385352560 = 243576075281
BaseRepresentation
bin1010000001111110…
…11111010101110000
3111220022111020220020
411000333133111300
542012122240220
62250214443440
7250311512220
oct50077372560
914808436806
105385352560
1123139890a5
121063663580
1367a942163
14391332080
15217bc5040
hex140fdf570

5385352560 has 160 divisors (see below), whose sum is σ = 19114586112. Its totient is φ = 1228677120.

The previous prime is 5385352559. The next prime is 5385352579. The reversal of 5385352560 is 652535835.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017120 + ... + 1022400.

Almost surely, 25385352560 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 5385352560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9557293056).

5385352560 is an abundant number, since it is smaller than the sum of its proper divisors (13729233552).

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

5385352560 is a wasteful number, since it uses less digits than its factorization.

5385352560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5911 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The square root of 5385352560 is about 73384.9614021838. The cubic root of 5385352560 is about 1752.8229333879.

The spelling of 5385352560 in words is "five billion, three hundred eighty-five million, three hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 607 840 1214 1680 1821 2428 3035 3642 4249 4856 5281 6070 7284 8498 9105 9712 10562 12140 12747 14568 15843 16996 18210 21124 21245 24280 25494 26405 29136 31686 33992 36420 36967 42248 42490 48560 50988 52810 63372 63735 67984 72840 73934 79215 84496 84980 101976 105620 110901 126744 127470 145680 147868 158430 169960 184835 203952 211240 221802 253488 254940 295736 316860 339920 369670 422480 443604 509880 554505 591472 633720 739340 887208 1019760 1109010 1267440 1478680 1774416 2218020 2957360 3205567 4436040 6411134 8872080 9616701 12822268 16027835 19233402 22438969 25644536 32055670 38466804 44877938 48083505 51289072 64111340 67316907 76933608 89755876 96167010 112194845 128222680 134633814 153867216 179511752 192334020 224389690 256445360 269267628 336584535 359023504 384668040 448779380 538535256 673169070 769336080 897558760 1077070512 1346338140 1795117520 2692676280 5385352560