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21109980 = 2235372257
BaseRepresentation
bin101000010000…
…1110011011100
31110201111110010
41100201303130
520401004410
62032243220
7344301063
oct120416334
943644403
1021109980
1110a09271
1270a0510
1344b1718
142b371da
151cbec20
hex1421cdc

21109980 has 72 divisors (see below), whose sum is σ = 60985008. Its totient is φ = 5455872.

The previous prime is 21109973. The next prime is 21109987. The reversal of 21109980 is 8990112.

It is an interprime number because it is at equal distance from previous prime (21109973) and next prime (21109987).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21109987) 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, 82012 + ... + 82268.

It is an arithmetic number, because the mean of its divisors is an integer number (847014).

Almost surely, 221109980 is an apocalyptic number.

21109980 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 21109980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30492504).

21109980 is an abundant number, since it is smaller than the sum of its proper divisors (39875028).

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

21109980 is a wasteful number, since it uses less digits than its factorization.

21109980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 21109980 is about 4594.5598265775. The cubic root of 21109980 is about 276.3732086235.

It can be divided in two parts, 2110 and 9980, that added together give a triangular number (12090 = T155).

The spelling of 21109980 in words is "twenty-one million, one hundred nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 257 370 444 514 555 740 771 1028 1110 1285 1369 1542 2220 2570 2738 3084 3855 4107 5140 5476 6845 7710 8214 9509 13690 15420 16428 19018 20535 27380 28527 38036 41070 47545 57054 82140 95090 114108 142635 190180 285270 351833 570540 703666 1055499 1407332 1759165 2110998 3518330 4221996 5277495 7036660 10554990 21109980