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5046720 = 26357751
BaseRepresentation
bin10011010000000111000000
3100111101210120
4103100013000
52242443340
6300100240
760616320
oct23200700
910441716
105046720
112937748
121834680
131079133
14955280
1569a4d0
hex4d01c0

5046720 has 112 divisors (see below), whose sum is σ = 18336768. Its totient is φ = 1152000.

The previous prime is 5046703. The next prime is 5046721. The reversal of 5046720 is 276405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5046721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6345 + ... + 7095.

Almost surely, 25046720 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 5046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9168384).

5046720 is an abundant number, since it is smaller than the sum of its proper divisors (13290048).

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

5046720 is a wasteful number, since it uses less digits than its factorization.

5046720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 5046720 is about 2246.4905964637. The cubic root of 5046720 is about 171.5285448609.

The spelling of 5046720 in words is "five million, forty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 751 840 960 1120 1344 1502 1680 2240 2253 3004 3360 3755 4506 5257 6008 6720 7510 9012 10514 11265 12016 15020 15771 18024 21028 22530 24032 26285 30040 31542 36048 42056 45060 48064 52570 60080 63084 72096 78855 84112 90120 105140 120160 126168 144192 157710 168224 180240 210280 240320 252336 315420 336448 360480 420560 504672 630840 720960 841120 1009344 1261680 1682240 2523360 5046720