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5019040 = 2551319127
BaseRepresentation
bin10011001001010110100000
3100102222211101
4103021112200
52241102130
6255324144
760442525
oct23112640
910388741
105019040
112918974
121820654
131069660
1494914c
156921ca
hex4c95a0

5019040 has 96 divisors (see below), whose sum is σ = 13547520. Its totient is φ = 1741824.

The previous prime is 5019031. The next prime is 5019041. The reversal of 5019040 is 409105.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 5018999 and 5019017.

It is not an unprimeable number, because it can be changed into a prime (5019041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39457 + ... + 39583.

It is an arithmetic number, because the mean of its divisors is an integer number (141120).

Almost surely, 25019040 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 5019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773760).

5019040 is an abundant number, since it is smaller than the sum of its proper divisors (8528480).

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

5019040 is a wasteful number, since it uses less digits than its factorization.

5019040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 5019040 is about 2240.3214055131. The cubic root of 5019040 is about 171.2143726833.

The spelling of 5019040 in words is "five million, nineteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 65 76 80 95 104 127 130 152 160 190 208 247 254 260 304 380 416 494 508 520 608 635 760 988 1016 1040 1235 1270 1520 1651 1976 2032 2080 2413 2470 2540 3040 3302 3952 4064 4826 4940 5080 6604 7904 8255 9652 9880 10160 12065 13208 16510 19304 19760 20320 24130 26416 31369 33020 38608 39520 48260 52832 62738 66040 77216 96520 125476 132080 156845 193040 250952 264160 313690 386080 501904 627380 1003808 1254760 2509520 5019040