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10142808 = 23313192959
BaseRepresentation
bin100110101100…
…010001011000
3201002022022120
4212230101120
510044032213
61001221240
7152132604
oct46542130
921068276
1010142808
1157a8495
123491820
132141880
1414c0504
15d55423
hex9ac458

10142808 has 128 divisors (see below), whose sum is σ = 30240000. Its totient is φ = 2806272.

The previous prime is 10142807. The next prime is 10142809. The reversal of 10142808 is 80824101.

It is an interprime number because it is at equal distance from previous prime (10142807) and next prime (10142809).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142801) 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, 171883 + ... + 171941.

It is an arithmetic number, because the mean of its divisors is an integer number (236250).

Almost surely, 210142808 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 10142808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120000).

10142808 is an abundant number, since it is smaller than the sum of its proper divisors (20097192).

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

10142808 is a wasteful number, since it uses less digits than its factorization.

10142808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

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

The square root of 10142808 is about 3184.7775432516. Note that the first 3 decimals coincide. The cubic root of 10142808 is about 216.4641937559.

Adding to 10142808 its reverse (80824101), we get a palindrome (90966909).

The spelling of 10142808 in words is "ten million, one hundred forty-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 29 38 39 52 57 58 59 76 78 87 104 114 116 118 152 156 174 177 228 232 236 247 312 348 354 377 456 472 494 551 696 708 741 754 767 988 1102 1121 1131 1416 1482 1508 1534 1653 1711 1976 2204 2242 2262 2301 2964 3016 3068 3306 3363 3422 4408 4484 4524 4602 5133 5928 6136 6612 6726 6844 7163 8968 9048 9204 10266 13224 13452 13688 14326 14573 18408 20532 21489 22243 26904 28652 29146 32509 41064 42978 43719 44486 57304 58292 65018 66729 85956 87438 88972 97527 116584 130036 133458 171912 174876 177944 195054 260072 266916 349752 390108 422617 533832 780216 845234 1267851 1690468 2535702 3380936 5071404 10142808