[go: up one dir, main page]

Search a number
-
+
5069960 = 235719953
BaseRepresentation
bin10011010101110010001000
3100112120200022
4103111302020
52244214320
6300400012
761044140
oct23256210
910476608
105069960
112953155
121846008
13108689c
1495d920
156a2325
hex4d5c88

5069960 has 64 divisors (see below), whose sum is σ = 13737600. Its totient is φ = 1645056.

The previous prime is 5069951. The next prime is 5069963. The reversal of 5069960 is 699605.

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 5069960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5069963) 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, 4844 + ... + 5796.

It is an arithmetic number, because the mean of its divisors is an integer number (214650).

Almost surely, 25069960 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 5069960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868800).

5069960 is an abundant number, since it is smaller than the sum of its proper divisors (8667640).

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

5069960 is a wasteful number, since it uses less digits than its factorization.

5069960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 5069960 is about 2251.6571675102. The cubic root of 5069960 is about 171.7914364037.

The spelling of 5069960 in words is "five million, sixty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 953 1064 1330 1906 2660 3812 4765 5320 6671 7624 9530 13342 18107 19060 26684 33355 36214 38120 53368 66710 72428 90535 126749 133420 144856 181070 253498 266840 362140 506996 633745 724280 1013992 1267490 2534980 5069960