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10241088 = 2631113373
BaseRepresentation
bin100111000100…
…010001000000
3201021022010120
4213010101000
510110203323
61003300240
7153022254
oct47042100
921238116
1010241088
115865310
12351a680
132177520
141508264
15d745e3
hex9c4440

10241088 has 112 divisors (see below), whose sum is σ = 31918656. Its totient is φ = 2856960.

The previous prime is 10241087. The next prime is 10241113. The reversal of 10241088 is 88014201.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10241087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27270 + ... + 27642.

It is an arithmetic number, because the mean of its divisors is an integer number (284988).

Almost surely, 210241088 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 10241088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15959328).

10241088 is an abundant number, since it is smaller than the sum of its proper divisors (21677568).

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

10241088 is a wasteful number, since it uses less digits than its factorization.

10241088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 10241088 is about 3200.1699954846. The cubic root of 10241088 is about 217.1610999051.

Adding to 10241088 its reverse (88014201), we get a palindrome (98255289).

It can be divided in two parts, 1024 and 1088, that added together give a palindrome (2112).

The spelling of 10241088 in words is "ten million, two hundred forty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 373 416 429 528 572 624 704 746 832 858 1056 1119 1144 1248 1492 1716 2112 2238 2288 2496 2984 3432 4103 4476 4576 4849 5968 6864 8206 8952 9152 9698 11936 12309 13728 14547 16412 17904 19396 23872 24618 27456 29094 32824 35808 38792 49236 53339 58188 65648 71616 77584 98472 106678 116376 131296 155168 160017 196944 213356 232752 262592 310336 320034 393888 426712 465504 640068 787776 853424 931008 1280136 1706848 2560272 3413696 5120544 10241088