Search a number
-
+
21326100 = 22352671061
BaseRepresentation
bin101000101011…
…0100100010100
31111010110220120
41101112210110
520424413400
62041031540
7346161135
oct121264424
944113816
1021326100
1111046684
1271855b0
134558bc3
142b91c8c
151d13ca0
hex1456914

21326100 has 72 divisors (see below), whose sum is σ = 62683488. Its totient is φ = 5596800.

The previous prime is 21326099. The next prime is 21326101. The reversal of 21326100 is 162312.

It is an interprime number because it is at equal distance from previous prime (21326099) and next prime (21326101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21326100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21326101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19570 + ... + 20630.

It is an arithmetic number, because the mean of its divisors is an integer number (870604).

Almost surely, 221326100 is an apocalyptic number.

21326100 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 21326100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31341744).

21326100 is an abundant number, since it is smaller than the sum of its proper divisors (41357388).

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

21326100 is a wasteful number, since it uses less digits than its factorization.

21326100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 21326100 is about 4618.0190558290. The cubic root of 21326100 is about 277.3131604893.

Adding to 21326100 its reverse (162312), we get a palindrome (21488412).

The spelling of 21326100 in words is "twenty-one million, three hundred twenty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1061 1340 1675 2010 2122 3183 3350 4020 4244 5025 5305 6366 6700 10050 10610 12732 15915 20100 21220 26525 31830 53050 63660 71087 79575 106100 142174 159150 213261 284348 318300 355435 426522 710870 853044 1066305 1421740 1777175 2132610 3554350 4265220 5331525 7108700 10663050 21326100