Search a number
-
+
21903980 = 2257331103
BaseRepresentation
bin101001110001…
…1101001101100
31112012211121112
41103203221230
521101411410
62101251152
7354116000
oct123435154
945184545
1021903980
111140086a
127403ab8
1346cbc47
142ca2700
151dca105
hex14e3a6c

21903980 has 96 divisors (see below), whose sum is σ = 55910400. Its totient is φ = 7197120.

The previous prime is 21903943. The next prime is 21903983. The reversal of 21903980 is 8930912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21903983) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 212609 + ... + 212711.

It is an arithmetic number, because the mean of its divisors is an integer number (582400).

Almost surely, 221903980 is an apocalyptic number.

21903980 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 21903980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27955200).

21903980 is an abundant number, since it is smaller than the sum of its proper divisors (34006420).

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

21903980 is a wasteful number, since it uses less digits than its factorization.

21903980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 21903980 is about 4680.1688003746. The cubic root of 21903980 is about 279.7956842806.

The spelling of 21903980 in words is "twenty-one million, nine hundred three thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 103 124 140 155 196 206 217 245 310 343 412 434 490 515 620 686 721 868 980 1030 1085 1372 1442 1519 1715 2060 2170 2884 3038 3193 3430 3605 4340 5047 6076 6386 6860 7210 7595 10094 10633 12772 14420 15190 15965 20188 21266 22351 25235 30380 31930 35329 42532 44702 50470 53165 63860 70658 89404 100940 106330 111755 141316 156457 176645 212660 223510 312914 353290 447020 625828 706580 782285 1095199 1564570 2190398 3129140 4380796 5475995 10951990 21903980