Search a number
-
+
10023354 = 23211233171
BaseRepresentation
bin100110001111…
…000110111010
3200212020110100
4212033012322
510031221404
6554500230
7151124415
oct46170672
920766410
1010023354
115726770
123434676
1320cc3a3
14148cb7c
15d2ed39
hex98f1ba

10023354 has 96 divisors (see below), whose sum is σ = 25878528. Its totient is φ = 2772000.

The previous prime is 10023347. The next prime is 10023367. The reversal of 10023354 is 45332001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141139 + ... + 141209.

It is an arithmetic number, because the mean of its divisors is an integer number (269568).

Almost surely, 210023354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12939264).

10023354 is an abundant number, since it is smaller than the sum of its proper divisors (15855174).

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

10023354 is a wasteful number, since it uses less digits than its factorization.

10023354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 10023354 is about 3165.9680983863. The cubic root of 10023354 is about 215.6110541705.

Adding to 10023354 its reverse (45332001), we get a palindrome (55355355).

It can be divided in two parts, 1002 and 3354, that added together give a square (4356 = 662).

The spelling of 10023354 in words is "ten million, twenty-three thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 23 31 33 46 62 66 69 71 93 99 138 142 186 198 207 213 253 279 341 414 426 506 558 639 682 713 759 781 1023 1278 1426 1518 1562 1633 2046 2139 2201 2277 2343 3069 3266 4278 4402 4554 4686 4899 6138 6417 6603 7029 7843 9798 12834 13206 14058 14697 15686 17963 19809 23529 24211 29394 35926 39618 47058 48422 50623 53889 70587 72633 101246 107778 141174 145266 151869 161667 217899 303738 323334 435798 455607 556853 911214 1113706 1670559 3341118 5011677 10023354