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21553400 = 23521197101
BaseRepresentation
bin101001000111…
…0000011111000
31111120000201002
41102032003320
521004202100
62045544132
7351125621
oct122160370
944500632
1021553400
1111191430
127275048
1346084bb
142c10a48
151d5b2d5
hex148e0f8

21553400 has 96 divisors (see below), whose sum is σ = 55777680. Its totient is φ = 7680000.

The previous prime is 21553393. The next prime is 21553403. The reversal of 21553400 is 435512.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21553403) 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, 213350 + ... + 213450.

Almost surely, 221553400 is an apocalyptic number.

21553400 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 21553400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27888840).

21553400 is an abundant number, since it is smaller than the sum of its proper divisors (34224280).

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

21553400 is a wasteful number, since it uses less digits than its factorization.

21553400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 21553400 is about 4642.5639467863. The cubic root of 21553400 is about 278.2949098556.

Adding to 21553400 its reverse (435512), we get a palindrome (21988912).

It can be divided in two parts, 2155 and 3400, that added together give a palindrome (5555).

The spelling of 21553400 in words is "twenty-one million, five hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 97 100 101 110 194 200 202 220 275 388 404 440 485 505 550 776 808 970 1010 1067 1100 1111 1940 2020 2134 2200 2222 2425 2525 3880 4040 4268 4444 4850 5050 5335 5555 8536 8888 9700 9797 10100 10670 11110 19400 19594 20200 21340 22220 26675 27775 39188 42680 44440 48985 53350 55550 78376 97970 106700 107767 111100 195940 213400 215534 222200 244925 391880 431068 489850 538835 862136 979700 1077670 1959400 2155340 2694175 4310680 5388350 10776700 21553400