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10142154 = 23211181283
BaseRepresentation
bin100110101100…
…000111001010
3201002021102100
4212230013022
510044022104
61001214230
7152130651
oct46540712
921067370
1010142154
1157a7a50
123491376
132141499
1414c0198
15d55139
hex9ac1ca

10142154 has 48 divisors (see below), whose sum is σ = 24189984. Its totient is φ = 3045600.

The previous prime is 10142147. The next prime is 10142161. The reversal of 10142154 is 45124101.

It is an interprime number because it is at equal distance from previous prime (10142147) and next prime (10142161).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35697 + ... + 35979.

It is an arithmetic number, because the mean of its divisors is an integer number (503958).

Almost surely, 210142154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12094992).

10142154 is an abundant number, since it is smaller than the sum of its proper divisors (14047830).

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

10142154 is a wasteful number, since it uses less digits than its factorization.

10142154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10142154 is about 3184.6748656653. The cubic root of 10142154 is about 216.4595411776.

Adding to 10142154 its reverse (45124101), we get a palindrome (55266255).

It can be divided in two parts, 101421 and 54, that added together give a triangular number (101475 = T450).

The spelling of 10142154 in words is "ten million, one hundred forty-two thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 181 198 283 362 543 566 849 1086 1629 1698 1991 2547 3113 3258 3982 5094 5973 6226 9339 11946 17919 18678 28017 35838 51223 56034 102446 153669 307338 461007 563453 922014 1126906 1690359 3380718 5071077 10142154