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102142716 = 223134315227
BaseRepresentation
bin1100001011010…
…01001011111100
321010012101110120
412011221023330
5202122031331
614045134540
72350125114
oct605511374
9233171416
10102142716
1152725375
122a25a450
1318213ba0
14d7cc044
158e79796
hex61692fc

102142716 has 48 divisors (see below), whose sum is σ = 262652544. Its totient is φ = 30695616.

The previous prime is 102142687. The next prime is 102142717. The reversal of 102142716 is 617241201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102142717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906 + ... + 14321.

It is an arithmetic number, because the mean of its divisors is an integer number (5471928).

Almost surely, 2102142716 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 102142716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131326272).

102142716 is an abundant number, since it is smaller than the sum of its proper divisors (160509828).

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

102142716 is a wasteful number, since it uses less digits than its factorization.

102142716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15290 (or 15288 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 102142716 is about 10106.5679634582. The cubic root of 102142716 is about 467.4506850285.

Adding to 102142716 its reverse (617241201), we get a palindrome (719383917).

The spelling of 102142716 in words is "one hundred two million, one hundred forty-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1118 1677 2236 3354 6708 15227 30454 45681 60908 91362 182724 197951 395902 593853 654761 791804 1187706 1309522 1964283 2375412 2619044 3928566 7857132 8511893 17023786 25535679 34047572 51071358 102142716