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5164020 = 2233573131
BaseRepresentation
bin10011101100101111110100
3100201100201000
4103230233310
52310222040
6302403300
761615311
oct23545764
910640630
105164020
112a07894
121890530
1310ba644
14985d08
156c0130
hex4ecbf4

5164020 has 96 divisors (see below), whose sum is σ = 16410240. Its totient is φ = 1347840.

The previous prime is 5164013. The next prime is 5164021. The reversal of 5164020 is 204615.

It is a happy number.

5164020 is a `hidden beast` number, since 5 + 1 + 640 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5163984 and 5164002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5164021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39355 + ... + 39485.

It is an arithmetic number, because the mean of its divisors is an integer number (170940).

Almost surely, 25164020 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 5164020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8205120).

5164020 is an abundant number, since it is smaller than the sum of its proper divisors (11246220).

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

5164020 is a wasteful number, since it uses less digits than its factorization.

5164020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5164020 is about 2272.4480192075. The cubic root of 5164020 is about 172.8473153610.

Adding to 5164020 its reverse (204615), we get a palindrome (5368635).

It can be divided in two parts, 5 and 164020, that added together give a square (164025 = 4052).

The spelling of 5164020 in words is "five million, one hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 90 108 131 135 146 180 219 262 270 292 365 393 438 524 540 655 657 730 786 876 1095 1179 1310 1314 1460 1572 1965 1971 2190 2358 2620 2628 3285 3537 3930 3942 4380 4716 5895 6570 7074 7860 7884 9563 9855 11790 13140 14148 17685 19126 19710 23580 28689 35370 38252 39420 47815 57378 70740 86067 95630 114756 143445 172134 191260 258201 286890 344268 430335 516402 573780 860670 1032804 1291005 1721340 2582010 5164020