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2161131360 = 25355478231
BaseRepresentation
bin1000000011010000…
…0011111101100000
312120121112211220020
42000310003331200
513411222200420
6554240313440
7104361212343
oct20064037540
95517484806
102161131360
11a099a1a83
12503912880
13285972a6b
1416704045a
15c9ae0340
hex80d03f60

2161131360 has 96 divisors (see below), whose sum is σ = 6820837632. Its totient is φ = 575178240.

The previous prime is 2161131353. The next prime is 2161131377. The reversal of 2161131360 is 631311612.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2161131360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258445 + ... + 266675.

It is an arithmetic number, because the mean of its divisors is an integer number (71050392).

Almost surely, 22161131360 is an apocalyptic number.

2161131360 is a gapful number since it is divisible by the number (20) 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 2161131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410418816).

2161131360 is an abundant number, since it is smaller than the sum of its proper divisors (4659706272).

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

2161131360 is a wasteful number, since it uses less digits than its factorization.

2161131360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8796 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 2161131360 is about 46487.9700567792. The cubic root of 2161131360 is about 1292.8864636298.

Adding to 2161131360 its reverse (631311612), we get a palindrome (2792442972).

The spelling of 2161131360 in words is "two billion, one hundred sixty-one million, one hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 547 1094 1641 2188 2735 3282 4376 5470 6564 8205 8231 8752 10940 13128 16410 16462 17504 21880 24693 26256 32820 32924 41155 43760 49386 52512 65640 65848 82310 87520 98772 123465 131280 131696 164620 197544 246930 262560 263392 329240 395088 493860 658480 790176 987720 1316960 1975440 3950880 4502357 9004714 13507071 18009428 22511785 27014142 36018856 45023570 54028284 67535355 72037712 90047140 108056568 135070710 144075424 180094280 216113136 270141420 360188560 432226272 540282840 720377120 1080565680 2161131360