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10060288 = 2972401
BaseRepresentation
bin100110011000…
…001000000000
3200221010010021
4212120020000
510033412123
6555343224
7151340200
oct46301000
920833107
1010060288
115751497
123451b14
132113144
14149c400
15d3ac5d
hex998200

10060288 has 60 divisors (see below), whose sum is σ = 23441022. Its totient is φ = 4300800.

The previous prime is 10060283. The next prime is 10060289. The reversal of 10060288 is 88206001.

It can be written as a sum of positive squares in only one way, i.e., 5531904 + 4528384 = 2352^2 + 2128^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (10060283) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24888 + ... + 25288.

Almost surely, 210060288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10060288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11720511).

10060288 is an abundant number, since it is smaller than the sum of its proper divisors (13380734).

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

10060288 is an frugal number, since it uses more digits than its factorization.

10060288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 10060288 is about 3171.7957059054. The cubic root of 10060288 is about 215.8755570342.

Adding to 10060288 its reverse (88206001), we get a palindrome (98266289).

The spelling of 10060288 in words is "ten million, sixty thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 401 448 512 784 802 896 1568 1604 1792 2807 3136 3208 3584 5614 6272 6416 11228 12544 12832 19649 22456 25088 25664 39298 44912 51328 78596 89824 102656 157192 179648 205312 314384 359296 628768 718592 1257536 1437184 2515072 5030144 10060288