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5078640 = 243573023
BaseRepresentation
bin10011010111111001110000
3100120000120210
4103113321300
52300004030
6300504120
761111350
oct23277160
910500523
105078640
112959726
12184b040
13108a818
14962b60
156a4bb0
hex4d7e70

5078640 has 80 divisors (see below), whose sum is σ = 17998848. Its totient is φ = 1160448.

The previous prime is 5078617. The next prime is 5078651. The reversal of 5078640 is 468705.

It is a happy number.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 5078598 and 5078607.

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, 169 + ... + 3191.

Almost surely, 25078640 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 5078640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999424).

5078640 is an abundant number, since it is smaller than the sum of its proper divisors (12920208).

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

5078640 is a wasteful number, since it uses less digits than its factorization.

5078640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 5078640 is about 2253.5838125084. The cubic root of 5078640 is about 171.8894187353.

The spelling of 5078640 in words is "five million, seventy-eight thousand, six hundred forty".

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 3023 6046 9069 12092 15115 18138 21161 24184 30230 36276 42322 45345 48368 60460 63483 72552 84644 90690 105805 120920 126966 145104 169288 181380 211610 241840 253932 317415 338576 362760 423220 507864 634830 725520 846440 1015728 1269660 1692880 2539320 5078640