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212539860 = 2232513611489
BaseRepresentation
bin11001010101100…
…01100111010100
3112210221010212200
430222301213110
5413402233420
633031244500
75160362511
oct1452614724
9483833780
10212539860
11a9a78385
125b219730
1335057c40
1420328308
15139d4b90
hexcab19d4

212539860 has 144 divisors (see below), whose sum is σ = 706152720. Its totient is φ = 51425280.

The previous prime is 212539807. The next prime is 212539861. The reversal of 212539860 is 68935212.

212539860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 92505924 + 120033936 = 9618^2 + 10956^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212539861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141996 + ... + 143484.

Almost surely, 2212539860 is an apocalyptic number.

212539860 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 212539860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353076360).

212539860 is an abundant number, since it is smaller than the sum of its proper divisors (493612860).

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

212539860 is a wasteful number, since it uses less digits than its factorization.

212539860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 212539860 is about 14578.7468597270. The cubic root of 212539860 is about 596.7789051918.

It can be divided in two parts, 21253 and 9860, that added together give a palindrome (31113).

The spelling of 212539860 in words is "two hundred twelve million, five hundred thirty-nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 61 65 78 90 117 122 130 156 180 183 195 234 244 260 305 366 390 468 549 585 610 732 780 793 915 1098 1170 1220 1489 1586 1830 2196 2340 2379 2745 2978 3172 3660 3965 4467 4758 5490 5956 7137 7445 7930 8934 9516 10980 11895 13401 14274 14890 15860 17868 19357 22335 23790 26802 28548 29780 35685 38714 44670 47580 53604 58071 67005 71370 77428 89340 90829 96785 116142 134010 142740 174213 181658 193570 232284 268020 272487 290355 348426 363316 387140 454145 544974 580710 696852 817461 871065 908290 1089948 1161420 1180777 1362435 1634922 1742130 1816580 2361554 2724870 3269844 3484260 3542331 4087305 4723108 5449740 5903885 7084662 8174610 10626993 11807770 14169324 16349220 17711655 21253986 23615540 35423310 42507972 53134965 70846620 106269930 212539860