[go: up one dir, main page]

Search a number
-
+
6104260840 = 235316018191
BaseRepresentation
bin1011010111101011…
…11010000011101000
3120202102020120122211
411223311322003220
5100000142321330
62445415254504
7304161234556
oct55365720350
916672216584
106104260840
112652772577
12122437a434
13763871a82
1441c9ccbd6
1525ad7ed2a
hex16bd7a0e8

6104260840 has 64 divisors (see below), whose sum is σ = 14202961920. Its totient is φ = 2358720000.

The previous prime is 6104260819. The next prime is 6104260843. The reversal of 6104260840 is 480624016.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (6104260843) 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, 741145 + ... + 749335.

It is an arithmetic number, because the mean of its divisors is an integer number (221921280).

Almost surely, 26104260840 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 6104260840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7101480960).

6104260840 is an abundant number, since it is smaller than the sum of its proper divisors (8098701080).

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

6104260840 is a wasteful number, since it uses less digits than its factorization.

6104260840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8834 (or 8830 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 6104260840 is about 78129.7692304284. The cubic root of 6104260840 is about 1827.5854606363.

Adding to 6104260840 its reverse (480624016), we get a palindrome (6584884856).

The spelling of 6104260840 in words is "six billion, one hundred four million, two hundred sixty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 601 620 1202 1240 2404 3005 4808 6010 8191 12020 16382 18631 24040 32764 37262 40955 65528 74524 81910 93155 149048 163820 186310 253921 327640 372620 507842 745240 1015684 1269605 2031368 2539210 4922791 5078420 9845582 10156840 19691164 24613955 39382328 49227910 98455820 152606521 196911640 305213042 610426084 763032605 1220852168 1526065210 3052130420 6104260840