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5030400 = 29352131
BaseRepresentation
bin10011001100001000000000
3100110120102010
4103030020000
52241433100
6255452520
760520614
oct23141000
910416363
105030400
112926461
121827140
13107188b
1494d344
15695750
hex4cc200

5030400 has 120 divisors (see below), whose sum is σ = 16744464. Its totient is φ = 1331200.

The previous prime is 5030371. The next prime is 5030411. The reversal of 5030400 is 40305.

5030400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38335 + ... + 38465.

Almost surely, 25030400 is an apocalyptic number.

5030400 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 5030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372232).

5030400 is an abundant number, since it is smaller than the sum of its proper divisors (11714064).

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

5030400 is a wasteful number, since it uses less digits than its factorization.

5030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 5030400 is about 2242.8553230202. The cubic root of 5030400 is about 171.3434498040.

Adding to 5030400 its reverse (40305), we get a palindrome (5070705).

The spelling of 5030400 in words is "five million, thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 131 150 160 192 200 240 256 262 300 320 384 393 400 480 512 524 600 640 655 768 786 800 960 1048 1200 1280 1310 1536 1572 1600 1920 1965 2096 2400 2560 2620 3144 3200 3275 3840 3930 4192 4800 5240 6288 6400 6550 7680 7860 8384 9600 9825 10480 12576 12800 13100 15720 16768 19200 19650 20960 25152 26200 31440 33536 38400 39300 41920 50304 52400 62880 67072 78600 83840 100608 104800 125760 157200 167680 201216 209600 251520 314400 335360 419200 503040 628800 838400 1006080 1257600 1676800 2515200 5030400