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10069488 = 24331113163
BaseRepresentation
bin100110011010…
…010111110000
3200221120202000
4212122113300
510034210423
6555454000
7151406052
oct46322760
920846660
1010069488
1157583a0
123457300
1321173a0
1414a18d2
15d3d843
hex99a5f0

10069488 has 160 divisors (see below), whose sum is σ = 34164480. Its totient is φ = 2799360.

The previous prime is 10069459. The next prime is 10069489. The reversal of 10069488 is 88496001.

It is a happy number.

10069488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10069489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61695 + ... + 61857.

It is an arithmetic number, because the mean of its divisors is an integer number (213528).

Almost surely, 210069488 is an apocalyptic number.

10069488 is a gapful number since it is divisible by the number (18) 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 10069488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17082240).

10069488 is an abundant number, since it is smaller than the sum of its proper divisors (24094992).

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

10069488 is a wasteful number, since it uses less digits than its factorization.

10069488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10069488 is about 3173.2456570521. The cubic root of 10069488 is about 215.9413420967.

The spelling of 10069488 in words is "ten million, sixty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 163 176 198 208 216 234 264 286 297 312 326 351 396 429 432 468 489 528 572 594 624 652 702 792 858 936 978 1144 1188 1287 1304 1404 1467 1584 1716 1793 1872 1956 2119 2288 2376 2574 2608 2808 2934 3432 3586 3861 3912 4238 4401 4752 5148 5379 5616 5868 6357 6864 7172 7722 7824 8476 8802 10296 10758 11736 12714 14344 15444 16137 16952 17604 19071 20592 21516 23309 23472 25428 28688 30888 32274 33904 35208 38142 43032 46618 48411 50856 57213 61776 64548 69927 70416 76284 86064 93236 96822 101712 114426 129096 139854 152568 186472 193644 209781 228852 258192 279708 305136 372944 387288 419562 457704 559416 629343 774576 839124 915408 1118832 1258686 1678248 2517372 3356496 5034744 10069488