[go: up one dir, main page]

Search a number
-
+
5155660160 = 27571995783
BaseRepresentation
bin1001100110100110…
…10010000110000000
3111022022021200011022
410303103102012000
541024322111120
62211331405012
7241522250120
oct46323220600
914268250138
105155660160
112206265872
12bba753768
1364218cbb1
1436ca20c80
15202953025
hex1334d2180

5155660160 has 128 divisors (see below), whose sum is σ = 14159232000. Its totient is φ = 1758468096.

The previous prime is 5155660141. The next prime is 5155660163. The reversal of 5155660160 is 610665515.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×51556601602 = 53161663370822451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5155660160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5155660163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 888629 + ... + 894411.

It is an arithmetic number, because the mean of its divisors is an integer number (110619000).

Almost surely, 25155660160 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 5155660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7079616000).

5155660160 is an abundant number, since it is smaller than the sum of its proper divisors (9003571840).

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

5155660160 is a wasteful number, since it uses less digits than its factorization.

5155660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6008 (or 5996 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The square root of 5155660160 is about 71802.9258456785. The cubic root of 5155660160 is about 1727.5399295315.

The spelling of 5155660160 in words is "five billion, one hundred fifty-five million, six hundred sixty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 199 224 280 320 398 448 560 640 796 896 995 1120 1393 1592 1990 2240 2786 3184 3980 4480 5572 5783 6368 6965 7960 11144 11566 12736 13930 15920 22288 23132 25472 27860 28915 31840 40481 44576 46264 55720 57830 63680 80962 89152 92528 111440 115660 127360 161924 178304 185056 202405 222880 231320 323848 370112 404810 445760 462640 647696 740224 809620 891520 925280 1150817 1295392 1619240 1850560 2301634 2590784 3238480 3701120 4603268 5181568 5754085 6476960 8055719 9206536 11508170 12953920 16111438 18413072 23016340 25907840 32222876 36826144 40278595 46032680 64445752 73652288 80557190 92065360 128891504 147304576 161114380 184130720 257783008 322228760 368261440 515566016 644457520 736522880 1031132032 1288915040 2577830080 5155660160