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10142748 = 22327113659
BaseRepresentation
bin100110101100…
…010000011100
3201002022020100
4212230100130
510044031443
61001221100
7152132460
oct46542034
921068210
1010142748
1157a8440
123491790
132141835
1414c04a0
15d553d3
hex9ac41c

10142748 has 72 divisors (see below), whose sum is σ = 31973760. Its totient is φ = 2633760.

The previous prime is 10142687. The next prime is 10142753. The reversal of 10142748 is 84724101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 943 + ... + 4601.

It is an arithmetic number, because the mean of its divisors is an integer number (444080).

Almost surely, 210142748 is an apocalyptic number.

10142748 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 10142748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15986880).

10142748 is an abundant number, since it is smaller than the sum of its proper divisors (21831012).

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

10142748 is a wasteful number, since it uses less digits than its factorization.

10142748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 10142748 is about 3184.7681234275. The cubic root of 10142748 is about 216.4637669222.

Adding to 10142748 its reverse (84724101), we get a palindrome (94866849).

It can be divided in two parts, 101427 and 48, that added together give a triangular number (101475 = T450).

The spelling of 10142748 in words is "ten million, one hundred forty-two thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 3659 7318 10977 14636 21954 25613 32931 40249 43908 51226 65862 76839 80498 102452 120747 131724 153678 160996 230517 241494 281743 307356 362241 461034 482988 563486 724482 845229 922068 1126972 1448964 1690458 2535687 3380916 5071374 10142748