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213036740 = 2257192832
BaseRepresentation
bin11001011001010…
…10111011000100
3112211212101110122
430230222323010
5414014133430
633050041112
75164532240
oct1454527304
9484771418
10213036740
11aa287724
125b419198
13351a0157
1420417420
1513a81ee5
hexcb2aec4

213036740 has 72 divisors (see below), whose sum is σ = 540106560. Its totient is φ = 68952384.

The previous prime is 213036739. The next prime is 213036757. The reversal of 213036740 is 47630312.

213036740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752639 + ... + 752921.

It is an arithmetic number, because the mean of its divisors is an integer number (7501480).

Almost surely, 2213036740 is an apocalyptic number.

213036740 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 213036740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270053280).

213036740 is an abundant number, since it is smaller than the sum of its proper divisors (327069820).

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

213036740 is a wasteful number, since it uses less digits than its factorization.

213036740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 213036740 is about 14595.7781567137. The cubic root of 213036740 is about 597.2435972046.

The spelling of 213036740 in words is "two hundred thirteen million, thirty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 283 380 532 566 665 1132 1330 1415 1981 2660 2830 3962 5377 5660 7924 9905 10754 19810 21508 26885 37639 39620 53770 75278 80089 107540 150556 160178 188195 320356 376390 400445 560623 752780 800890 1121246 1521691 1601780 2242492 2803115 3043382 5606230 6086764 7608455 10651837 11212460 15216910 21303674 30433820 42607348 53259185 106518370 213036740