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5142480 = 243573061
BaseRepresentation
bin10011100111011111010000
3100200021011020
4103213133100
52304024410
6302115440
761465440
oct23473720
910607136
105142480
1129a2692
12187bb80
1310b08b5
1497c120
156b8a70
hex4e77d0

5142480 has 80 divisors (see below), whose sum is σ = 18225024. Its totient is φ = 1175040.

The previous prime is 5142469. The next prime is 5142493. The reversal of 5142480 is 842415.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5142480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150 + ... + 3210.

Almost surely, 25142480 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 5142480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9112512).

5142480 is an abundant number, since it is smaller than the sum of its proper divisors (13082544).

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

5142480 is a wasteful number, since it uses less digits than its factorization.

5142480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 5142480 is about 2267.7036843468. The cubic root of 5142480 is about 172.6066553194.

Adding to 5142480 its reverse (842415), we get a palindrome (5984895).

The spelling of 5142480 in words is "five million, one hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 3061 6122 9183 12244 15305 18366 21427 24488 30610 36732 42854 45915 48976 61220 64281 73464 85708 91830 107135 122440 128562 146928 171416 183660 214270 244880 257124 321405 342832 367320 428540 514248 642810 734640 857080 1028496 1285620 1714160 2571240 5142480