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10053888 = 283131953
BaseRepresentation
bin100110010110…
…100100000000
3200220210100020
4212112210000
510033211023
6555253440
7151312425
oct46264400
920823306
1010053888
1157476a9
12344a280
132110260
141499d4c
15d38de3
hex996900

10053888 has 144 divisors (see below), whose sum is σ = 30905280. Its totient is φ = 2875392.

The previous prime is 10053887. The next prime is 10053913. The reversal of 10053888 is 88835001.

It is not an unprimeable number, because it can be changed into a prime (10053881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189670 + ... + 189722.

It is an arithmetic number, because the mean of its divisors is an integer number (214620).

Almost surely, 210053888 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 10053888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452640).

10053888 is an abundant number, since it is smaller than the sum of its proper divisors (20851392).

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

10053888 is a wasteful number, since it uses less digits than its factorization.

10053888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 10053888 is about 3170.7866531825. The cubic root of 10053888 is about 215.8297698545.

Adding to 10053888 its reverse (88835001), we get a palindrome (98888889).

The spelling of 10053888 in words is "ten million, fifty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 53 57 64 76 78 96 104 106 114 128 152 156 159 192 208 212 228 247 256 304 312 318 384 416 424 456 494 608 624 636 689 741 768 832 848 912 988 1007 1216 1248 1272 1378 1482 1664 1696 1824 1976 2014 2067 2432 2496 2544 2756 2964 3021 3328 3392 3648 3952 4028 4134 4864 4992 5088 5512 5928 6042 6784 7296 7904 8056 8268 9984 10176 11024 11856 12084 13091 13568 14592 15808 16112 16536 20352 22048 23712 24168 26182 31616 32224 33072 39273 40704 44096 47424 48336 52364 63232 64448 66144 78546 88192 94848 96672 104728 128896 132288 157092 176384 189696 193344 209456 257792 264576 314184 386688 418912 529152 628368 773376 837824 1256736 1675648 2513472 3351296 5026944 10053888