Search a number
-
+
207244128 = 25372133389
BaseRepresentation
bin11000101101001…
…00101101100000
3112102222002111110
430112210231200
5411023303003
632321543320
75064355200
oct1426445540
9472862443
10207244128
11a6a90643
12594a4b40
1333c22680
141d74a400
15132daa03
hexc5a4b60

207244128 has 144 divisors (see below), whose sum is σ = 681715440. Its totient is φ = 54641664.

The previous prime is 207244117. The next prime is 207244157. The reversal of 207244128 is 821442702.

207244128 = 222 + 232 + ... + 8532.

It is a junction number, because it is equal to n+sod(n) for n = 207244095 and 207244104.

It is a congruent number.

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, 59458 + ... + 62846.

It is an arithmetic number, because the mean of its divisors is an integer number (4734135).

Almost surely, 2207244128 is an apocalyptic number.

207244128 is a gapful number since it is divisible by the number (28) 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 207244128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340857720).

207244128 is an abundant number, since it is smaller than the sum of its proper divisors (474471312).

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

207244128 is a wasteful number, since it uses less digits than its factorization.

207244128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 207244128 is about 14395.9761044536. The cubic root of 207244128 is about 591.7806284836.

The spelling of 207244128 in words is "two hundred seven million, two hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3389 3822 4368 4704 5096 6778 7644 8736 10167 10192 13556 15288 20334 20384 23723 27112 30576 40668 44057 47446 54224 61152 71169 81336 88114 94892 108448 132171 142338 162672 166061 176228 189784 264342 284676 308399 325344 332122 352456 379568 498183 528684 569352 616798 664244 704912 759136 925197 996366 1057368 1138704 1233596 1328488 1409824 1850394 1992732 2114736 2158793 2277408 2467192 2656976 3700788 3985464 4229472 4317586 4934384 5313952 6476379 7401576 7970928 8635172 9868768 12952758 14803152 15941856 17270344 25905516 29606304 34540688 51811032 69081376 103622064 207244128