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210423400 = 235211101947
BaseRepresentation
bin11001000101011…
…00111001101000
3112122221121122021
430202230321220
5412332022100
632514034224
75133366205
oct1442547150
9478847567
10210423400
11a8862240
125a578974
13347967b5
141dd36cac
1513717a1a
hexc8ace68

210423400 has 96 divisors (see below), whose sum is σ = 539563680. Its totient is φ = 75680000.

The previous prime is 210423397. The next prime is 210423413. The reversal of 210423400 is 4324012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221727 + ... + 222673.

It is an arithmetic number, because the mean of its divisors is an integer number (5620455).

Almost surely, 2210423400 is an apocalyptic number.

210423400 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 210423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269781840).

210423400 is an abundant number, since it is smaller than the sum of its proper divisors (329140280).

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

210423400 is a wasteful number, since it uses less digits than its factorization.

210423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 210423400 is about 14505.9780780201. The cubic root of 210423400 is about 594.7913964023.

Adding to 210423400 its reverse (4324012), we get a palindrome (214747412).

It can be divided in two parts, 21042 and 3400, that added together give a palindrome (24442).

The spelling of 210423400 in words is "two hundred ten million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 947 1010 1100 1111 1894 2020 2200 2222 2525 3788 4040 4444 4735 5050 5555 7576 8888 9470 10100 10417 11110 18940 20200 20834 22220 23675 27775 37880 41668 44440 47350 52085 55550 83336 94700 95647 104170 111100 189400 191294 208340 222200 260425 382588 416680 478235 520850 765176 956470 1041700 1052117 1912940 2083400 2104234 2391175 3825880 4208468 4782350 5260585 8416936 9564700 10521170 19129400 21042340 26302925 42084680 52605850 105211700 210423400