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5020400 = 2452711163
BaseRepresentation
bin10011001001101011110000
3100110001200202
4103021223300
52241123100
6255334332
760446510
oct23115360
910401622
105020400
1129199a0
1218213a8
13106a168
14949840
156927d5
hex4c9af0

5020400 has 120 divisors (see below), whose sum is σ = 15129984. Its totient is φ = 1555200.

The previous prime is 5020391. The next prime is 5020403. The reversal of 5020400 is 40205.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5020403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30719 + ... + 30881.

Almost surely, 25020400 is an apocalyptic number.

5020400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7564992).

5020400 is an abundant number, since it is smaller than the sum of its proper divisors (10109584).

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

5020400 is a wasteful number, since it uses less digits than its factorization.

5020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 5020400 is about 2240.6249128312. The cubic root of 5020400 is about 171.2298358342.

Adding to 5020400 its reverse (40205), we get a palindrome (5060605).

The spelling of 5020400 in words is "five million, twenty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 163 175 176 200 220 275 280 308 326 350 385 400 440 550 560 616 652 700 770 815 880 1100 1141 1232 1304 1400 1540 1630 1793 1925 2200 2282 2608 2800 3080 3260 3586 3850 4075 4400 4564 5705 6160 6520 7172 7700 8150 8965 9128 11410 12551 13040 14344 15400 16300 17930 18256 22820 25102 28525 28688 30800 32600 35860 44825 45640 50204 57050 62755 65200 71720 89650 91280 100408 114100 125510 143440 179300 200816 228200 251020 313775 358600 456400 502040 627550 717200 1004080 1255100 2510200 5020400