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213027780 = 223571513359
BaseRepresentation
bin11001011001010…
…00101111000100
3112211211221011210
430230220233010
5414013342110
633045531420
75164464150
oct1454505704
9484757153
10213027780
11aa280a19
125b413b70
1335199054
1420414060
1513a7e520
hexcb28bc4

213027780 has 96 divisors (see below), whose sum is σ = 686407680. Its totient is φ = 48355200.

The previous prime is 213027767. The next prime is 213027781. The reversal of 213027780 is 87720312.

213027780 = T487 + T488 + ... + T1116.

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

It is not an unprimeable number, because it can be changed into a prime (213027781) 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, 61741 + ... + 65099.

It is an arithmetic number, because the mean of its divisors is an integer number (7150080).

Almost surely, 2213027780 is an apocalyptic number.

213027780 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 213027780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343203840).

213027780 is an abundant number, since it is smaller than the sum of its proper divisors (473379900).

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

213027780 is a wasteful number, since it uses less digits than its factorization.

213027780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 213027780 is about 14595.4712154147. The cubic root of 213027780 is about 597.2352240360.

The spelling of 213027780 in words is "two hundred thirteen million, twenty-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 151 210 302 420 453 604 755 906 1057 1510 1812 2114 2265 3020 3171 3359 4228 4530 5285 6342 6718 9060 10077 10570 12684 13436 15855 16795 20154 21140 23513 31710 33590 40308 47026 50385 63420 67180 70539 94052 100770 117565 141078 201540 235130 282156 352695 470260 507209 705390 1014418 1410780 1521627 2028836 2536045 3043254 3550463 5072090 6086508 7100926 7608135 10144180 10651389 14201852 15216270 17752315 21302778 30432540 35504630 42605556 53256945 71009260 106513890 213027780