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5169840 = 2435131657
BaseRepresentation
bin10011101110001010110000
3100201122200120
4103232022300
52310413330
6302450240
761641264
oct23561260
910648616
105169840
112a111a5
121893980
1310c01a0
149880a4
156c1c10
hex4ee2b0

5169840 has 80 divisors (see below), whose sum is σ = 17269728. Its totient is φ = 1271808.

The previous prime is 5169833. The next prime is 5169841. The reversal of 5169840 is 489615.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5169841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2292 + ... + 3948.

Almost surely, 25169840 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 5169840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8634864).

5169840 is an abundant number, since it is smaller than the sum of its proper divisors (12099888).

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

5169840 is a wasteful number, since it uses less digits than its factorization.

5169840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 5169840 is about 2273.7282159484. The cubic root of 5169840 is about 172.9122256242.

The spelling of 5169840 in words is "five million, one hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 1657 3120 3314 4971 6628 8285 9942 13256 16570 19884 21541 24855 26512 33140 39768 43082 49710 64623 66280 79536 86164 99420 107705 129246 132560 172328 198840 215410 258492 323115 344656 397680 430820 516984 646230 861640 1033968 1292460 1723280 2584920 5169840