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5410720120 = 2351346122571
BaseRepresentation
bin1010000101000000…
…10000100101111000
3111222002020001122111
411002200100211320
542040121020440
62252522302104
7251040235141
oct50240204570
914862201574
105410720120
112327235123
121070057934
13682c84750
14394856ac8
1521a0364ea
hex142810978

5410720120 has 64 divisors (see below), whose sum is σ = 13139612640. Its totient is φ = 1993382400.

The previous prime is 5410720111. The next prime is 5410720141. The reversal of 5410720120 is 210270145.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5410720091 and 5410720100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228435 + ... + 251005.

Almost surely, 25410720120 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 5410720120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6569806320).

5410720120 is an abundant number, since it is smaller than the sum of its proper divisors (7728892520).

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

5410720120 is a wasteful number, since it uses less digits than its factorization.

5410720120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23056 (or 23052 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 5410720120 is about 73557.5972962685. The cubic root of 5410720120 is about 1755.5708318622.

Adding to 5410720120 its reverse (210270145), we get a palindrome (5620990265).

The spelling of 5410720120 in words is "five billion, four hundred ten million, seven hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 461 520 922 1844 2305 3688 4610 5993 9220 11986 18440 22571 23972 29965 45142 47944 59930 90284 112855 119860 180568 225710 239720 293423 451420 586846 902840 1173692 1467115 2347384 2934230 5868460 10405231 11736920 20810462 41620924 52026155 83241848 104052310 135268003 208104620 270536006 416209240 541072012 676340015 1082144024 1352680030 2705360060 5410720120