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5164640 = 255132191
BaseRepresentation
bin10011101100111001100000
3100201101112222
4103230321200
52310232030
6302410212
761620155
oct23547140
910641488
105164640
112a082a8
121890968
1310baa00
1498622c
156c03e5
hex4ece60

5164640 has 72 divisors (see below), whose sum is σ = 13281408. Its totient is φ = 1896960.

The previous prime is 5164619. The next prime is 5164657. The reversal of 5164640 is 464615.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 11 ways as a sum of consecutive naturals, for example, 26945 + ... + 27135.

It is an arithmetic number, because the mean of its divisors is an integer number (184464).

Almost surely, 25164640 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 5164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640704).

5164640 is an abundant number, since it is smaller than the sum of its proper divisors (8116768).

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

5164640 is a wasteful number, since it uses less digits than its factorization.

5164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 5164640 is about 2272.5844318749. The cubic root of 5164640 is about 172.8542325203.

The spelling of 5164640 in words is "five million, one hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 191 208 260 338 382 416 520 676 764 845 955 1040 1352 1528 1690 1910 2080 2483 2704 3056 3380 3820 4966 5408 6112 6760 7640 9932 12415 13520 15280 19864 24830 27040 30560 32279 39728 49660 64558 79456 99320 129116 161395 198640 258232 322790 397280 516464 645580 1032928 1291160 2582320 5164640