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5129040 = 243574371
BaseRepresentation
bin10011100100001101010000
3100122120201110
4103210031100
52303112130
6301533320
761411320
oct23441520
910576643
105129040
112993584
121874240
1310a7747
14977280
156b4ab0
hex4e4350

5129040 has 160 divisors (see below), whose sum is σ = 18855936. Its totient is φ = 1128960.

The previous prime is 5129039. The next prime is 5129041. The reversal of 5129040 is 409215.

It is an interprime number because it is at equal distance from previous prime (5129039) and next prime (5129041).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5128998 and 5129016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5129041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72205 + ... + 72275.

Almost surely, 25129040 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 5129040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9427968).

5129040 is an abundant number, since it is smaller than the sum of its proper divisors (13726896).

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

5129040 is a wasteful number, since it uses less digits than its factorization.

5129040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 5129040 is about 2264.7383954885. The cubic root of 5129040 is about 172.4561535272.

The spelling of 5129040 in words is "five million, one hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 43 48 56 60 70 71 80 84 86 105 112 120 129 140 142 168 172 210 213 215 240 258 280 284 301 336 344 355 420 426 430 497 516 560 568 602 645 688 710 840 852 860 903 994 1032 1065 1136 1204 1290 1420 1491 1505 1680 1704 1720 1806 1988 2064 2130 2408 2485 2580 2840 2982 3010 3053 3408 3440 3612 3976 4260 4515 4816 4970 5160 5680 5964 6020 6106 7224 7455 7952 8520 9030 9159 9940 10320 11928 12040 12212 14448 14910 15265 17040 18060 18318 19880 21371 23856 24080 24424 29820 30530 36120 36636 39760 42742 45795 48848 59640 61060 64113 72240 73272 85484 91590 106855 119280 122120 128226 146544 170968 183180 213710 244240 256452 320565 341936 366360 427420 512904 641130 732720 854840 1025808 1282260 1709680 2564520 5129040