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4264960 = 21057217
BaseRepresentation
bin10000010001010000000000
322000200102111
4100101100000
52042434320
6231225104
751152200
oct20212000
98020374
104264960
112453367
121518194
13b6435b
147d0400
15593a5a
hex411400

4264960 has 132 divisors (see below), whose sum is σ = 12601332. Its totient is φ = 1376256.

The previous prime is 4264957. The next prime is 4264961. The reversal of 4264960 is 694624.

It can be written as a sum of positive squares in 2 ways, for example, as 2458624 + 1806336 = 1568^2 + 1344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4264961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250872 + ... + 250888.

Almost surely, 24264960 is an apocalyptic number.

4264960 is a gapful number since it is divisible by the number (40) 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 4264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6300666).

4264960 is an abundant number, since it is smaller than the sum of its proper divisors (8336372).

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

4264960 is a wasteful number, since it uses less digits than its factorization.

4264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 4264960 is about 2065.1779584336. The cubic root of 4264960 is about 162.1704247241.

The spelling of 4264960 in words is "four million, two hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 49 56 64 68 70 80 85 98 112 119 128 136 140 160 170 196 224 238 245 256 272 280 320 340 392 448 476 490 512 544 560 595 640 680 784 833 896 952 980 1024 1088 1120 1190 1280 1360 1568 1666 1792 1904 1960 2176 2240 2380 2560 2720 3136 3332 3584 3808 3920 4165 4352 4480 4760 5120 5440 6272 6664 7168 7616 7840 8330 8704 8960 9520 10880 12544 13328 15232 15680 16660 17408 17920 19040 21760 25088 26656 30464 31360 33320 35840 38080 43520 50176 53312 60928 62720 66640 76160 87040 106624 121856 125440 133280 152320 213248 250880 266560 304640 426496 533120 609280 852992 1066240 2132480 4264960