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210271380 = 22351132633
BaseRepresentation
bin11001000100001…
…11110010010100
3112122122220002220
430202013302110
5412312141010
632510502340
75132164044
oct1442076224
9478586086
10210271380
11a8769000
125a5049b0
1334742547
141dcd7724
15136d7970
hexc887c94

210271380 has 96 divisors (see below), whose sum is σ = 647837568. Its totient is φ = 50955520.

The previous prime is 210271367. The next prime is 210271381. The reversal of 210271380 is 83172012.

It is a self number, because there is not a number n which added to its sum of digits gives 210271380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210271381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78544 + ... + 81176.

It is an arithmetic number, because the mean of its divisors is an integer number (6748308).

Almost surely, 2210271380 is an apocalyptic number.

210271380 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 210271380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323918784).

210271380 is an abundant number, since it is smaller than the sum of its proper divisors (437566188).

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

210271380 is a wasteful number, since it uses less digits than its factorization.

210271380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 210271380 is about 14500.7372226380. The cubic root of 210271380 is about 594.6481265767.

The spelling of 210271380 in words is "two hundred ten million, two hundred seventy-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1331 1452 1815 2420 2633 2662 3630 3993 5266 5324 6655 7260 7899 7986 10532 13165 13310 15798 15972 19965 26330 26620 28963 31596 39495 39930 52660 57926 78990 79860 86889 115852 144815 157980 173778 289630 318593 347556 434445 579260 637186 868890 955779 1274372 1592965 1737780 1911558 3185930 3504523 3823116 4778895 6371860 7009046 9557790 10513569 14018092 17522615 19115580 21027138 35045230 42054276 52567845 70090460 105135690 210271380