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213387900 = 223521164663
BaseRepresentation
bin11001011100000…
…00101001111100
3112212112020011120
430232000221330
5414111403100
633101350540
75200524105
oct1456005174
9485466146
10213387900
11aa4a7540
125b568450
1335293c3b
14204a93ac
1513b010a0
hexcb80a7c

213387900 has 72 divisors (see below), whose sum is σ = 673540224. Its totient is φ = 51729600.

The previous prime is 213387877. The next prime is 213387929. The reversal of 213387900 is 9783312.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 29032 + ... + 35631.

Almost surely, 2213387900 is an apocalyptic number.

213387900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213387900 is an abundant number, since it is smaller than the sum of its proper divisors (460152324).

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

213387900 is a wasteful number, since it uses less digits than its factorization.

213387900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64691 (or 64684 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 213387900 is about 14607.8027095111. The cubic root of 213387900 is about 597.5715733895.

The spelling of 213387900 in words is "two hundred thirteen million, three hundred eighty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 64663 129326 193989 258652 323315 387978 646630 711293 775956 969945 1293260 1422586 1616575 1939890 2133879 2845172 3233150 3556465 3879780 4267758 4849725 6466300 7112930 8535516 9699450 10669395 14225860 17782325 19398900 21338790 35564650 42677580 53346975 71129300 106693950 213387900