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102001614 = 231113196257
BaseRepresentation
bin1100001010001…
…10101111001110
321002221012220120
412011012233032
5202103022424
614042125410
72345666541
oct605065716
9232835816
10102001614
1152639360
122a1b0866
13181948b0
14d792858
158e4ca79
hex6146bce

102001614 has 64 divisors (see below), whose sum is σ = 252322560. Its totient is φ = 27025920.

The previous prime is 102001591. The next prime is 102001639. The reversal of 102001614 is 416100201.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102001593 and 102001602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13174 + ... + 19430.

It is an arithmetic number, because the mean of its divisors is an integer number (3942540).

Almost surely, 2102001614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102001614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126161280).

102001614 is an abundant number, since it is smaller than the sum of its proper divisors (150320946).

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

102001614 is a wasteful number, since it uses less digits than its factorization.

102001614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6305.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 102001614 is about 10099.5848429527. The cubic root of 102001614 is about 467.2353372469.

Adding to 102001614 its reverse (416100201), we get a palindrome (518101815).

The spelling of 102001614 in words is "one hundred two million, one thousand, six hundred fourteen".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 143 209 247 286 418 429 494 627 741 858 1254 1482 2717 5434 6257 8151 12514 16302 18771 37542 68827 81341 118883 137654 162682 206481 237766 244023 356649 412962 488046 713298 894751 1307713 1545479 1789502 2615426 2684253 3090958 3923139 4636437 5368506 7846278 9272874 17000269 34000538 51000807 102001614