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21400500 = 22353111297
BaseRepresentation
bin101000110100…
…0101110110100
31111021020222010
41101220232310
520434304000
62042404220
7346621062
oct121505664
944236863
1021400500
1111097570
127200670
134583a24
142bb1032
151d2ad50
hex1468bb4

21400500 has 96 divisors (see below), whose sum is σ = 68035968. Its totient is φ = 5184000.

The previous prime is 21400493. The next prime is 21400507. The reversal of 21400500 is 500412.

It is an interprime number because it is at equal distance from previous prime (21400493) and next prime (21400507).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21400507) 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, 15852 + ... + 17148.

It is an arithmetic number, because the mean of its divisors is an integer number (708708).

Almost surely, 221400500 is an apocalyptic number.

21400500 is a gapful number since it is divisible by the number (20) 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 21400500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34017984).

21400500 is an abundant number, since it is smaller than the sum of its proper divisors (46635468).

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

21400500 is a wasteful number, since it uses less digits than its factorization.

21400500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1318 counting only the distinct ones).

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

The square root of 21400500 is about 4626.0674443851. The cubic root of 21400500 is about 277.6352720894.

Adding to 21400500 its reverse (500412), we get a palindrome (21900912).

The spelling of 21400500 in words is "twenty-one million, four hundred thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 375 500 550 660 750 825 1100 1297 1375 1500 1650 2594 2750 3300 3891 4125 5188 5500 6485 7782 8250 12970 14267 15564 16500 19455 25940 28534 32425 38910 42801 57068 64850 71335 77820 85602 97275 129700 142670 162125 171204 194550 214005 285340 324250 356675 389100 428010 486375 648500 713350 856020 972750 1070025 1426700 1783375 1945500 2140050 3566750 4280100 5350125 7133500 10700250 21400500