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212743260 = 22345413203
BaseRepresentation
bin11001010111000…
…11010001011100
3112211022110220000
430223203101130
5413430241020
633035454300
75162200512
oct1453432134
9484273800
10212743260
11aa0a7184
125b2b7390
13350c96b2
142037c4b2
1513a25090
hexcae345c

212743260 has 120 divisors (see below), whose sum is σ = 683874576. Its totient is φ = 55330560.

The previous prime is 212743241. The next prime is 212743273. The reversal of 212743260 is 62347212.

212743260 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64819 + ... + 68021.

Almost surely, 2212743260 is an apocalyptic number.

212743260 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 212743260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341937288).

212743260 is an abundant number, since it is smaller than the sum of its proper divisors (471131316).

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

212743260 is a wasteful number, since it uses less digits than its factorization.

212743260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 212743260 is about 14585.7210997605. The cubic root of 212743260 is about 596.9692163617.

The spelling of 212743260 in words is "two hundred twelve million, seven hundred forty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 246 270 324 369 405 410 492 540 615 738 810 820 1107 1230 1476 1620 1845 2214 2460 3203 3321 3690 4428 5535 6406 6642 7380 9609 11070 12812 13284 16015 16605 19218 22140 28827 32030 33210 38436 48045 57654 64060 66420 86481 96090 115308 131323 144135 172962 192180 259443 262646 288270 345924 393969 432405 518886 525292 576540 656615 787938 864810 1037772 1181907 1297215 1313230 1575876 1729620 1969845 2363814 2594430 2626460 3545721 3939690 4727628 5188860 5909535 7091442 7879380 10637163 11819070 14182884 17728605 21274326 23638140 35457210 42548652 53185815 70914420 106371630 212743260