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5205904160 = 255142922769
BaseRepresentation
bin1001101100100101…
…11100101100100000
3111102210211022222012
410312102330230200
541130202413120
62220324332052
7243002312102
oct46622745440
914383738865
105205904160
112231662936
121013544028
1364c702382
1437557d572
1520707a1c5
hex1364bcb20

5205904160 has 48 divisors (see below), whose sum is σ = 12308095800. Its totient is φ = 2080813056.

The previous prime is 5205904133. The next prime is 5205904189. The reversal of 5205904160 is 614095025.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1258546576 + 3947357584 = 35476^2 + 62828^2 .

It is a super-3 number, since 3×52059041603 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217256 + ... + 240024.

Almost surely, 25205904160 is an apocalyptic number.

It is an amenable number.

5205904160 is an abundant number, since it is smaller than the sum of its proper divisors (7102191640).

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

5205904160 is a wasteful number, since it uses less digits than its factorization.

5205904160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24213 (or 24205 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 5205904160 is about 72151.9518793497. The cubic root of 5205904160 is about 1733.1336568145.

Adding to 5205904160 its reverse (614095025), we get a palindrome (5819999185).

The spelling of 5205904160 in words is "five billion, two hundred five million, nine hundred four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1429 2858 5716 7145 11432 14290 22769 22864 28580 45538 45728 57160 91076 113845 114320 182152 227690 228640 364304 455380 728608 910760 1821520 3643040 32536901 65073802 130147604 162684505 260295208 325369010 520590416 650738020 1041180832 1301476040 2602952080 5205904160