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5107116 = 2237163373
BaseRepresentation
bin10011011110110110101100
3100121110122110
4103132312230
52301411431
6301244020
761260360
oct23366654
910543573
105107116
112979063
121863610
13109a781
1496d2a0
156ad346
hex4dedac

5107116 has 48 divisors (see below), whose sum is σ = 13739264. Its totient is φ = 1446336.

The previous prime is 5107111. The next prime is 5107117. The reversal of 5107116 is 6117015.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 5107092 and 5107101.

It is not an unprimeable number, because it can be changed into a prime (5107111) 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, 13506 + ... + 13878.

Almost surely, 25107116 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 5107116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6869632).

5107116 is an abundant number, since it is smaller than the sum of its proper divisors (8632148).

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

5107116 is a wasteful number, since it uses less digits than its factorization.

5107116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 5107116 is about 2259.8929178171. The cubic root of 5107116 is about 172.2100822213.

It can be divided in two parts, 510 and 7116, that added together give a triangular number (7626 = T123).

The spelling of 5107116 in words is "five million, one hundred seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 163 326 373 489 652 746 978 1119 1141 1492 1956 2238 2282 2611 3423 4476 4564 5222 6846 7833 10444 13692 15666 31332 60799 121598 182397 243196 364794 425593 729588 851186 1276779 1702372 2553558 5107116