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5010240 = 263517307
BaseRepresentation
bin10011000111001101000000
3100102112202110
4103013031000
52240311430
6255215320
760405054
oct23071500
910375673
105010240
1129122a4
121817540
131065651
14945c64
1568e7b0
hex4c7340

5010240 has 112 divisors (see below), whose sum is σ = 16898112. Its totient is φ = 1253376.

The previous prime is 5010233. The next prime is 5010263. The reversal of 5010240 is 420105.

5010240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16167 + ... + 16473.

It is an arithmetic number, because the mean of its divisors is an integer number (150876).

Almost surely, 25010240 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 5010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449056).

5010240 is an abundant number, since it is smaller than the sum of its proper divisors (11887872).

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

5010240 is a wasteful number, since it uses less digits than its factorization.

5010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 5010240 is about 2238.3565399641. The cubic root of 5010240 is about 171.1142494255.

Adding to 5010240 its reverse (420105), we get a palindrome (5430345).

It can be divided in two parts, 50 and 10240, that multiplied together give a cube (512000 = 803).

The spelling of 5010240 in words is "five million, ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 307 320 340 408 480 510 544 614 680 816 921 960 1020 1088 1228 1360 1535 1632 1842 2040 2456 2720 3070 3264 3684 4080 4605 4912 5219 5440 6140 7368 8160 9210 9824 10438 12280 14736 15657 16320 18420 19648 20876 24560 26095 29472 31314 36840 41752 49120 52190 58944 62628 73680 78285 83504 98240 104380 125256 147360 156570 167008 208760 250512 294720 313140 334016 417520 501024 626280 835040 1002048 1252560 1670080 2505120 5010240