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102042030 = 23523413607
BaseRepresentation
bin1100001010100…
…00100110101110
321010000021100110
412011100212232
5202110321110
614043040450
72346225426
oct605204656
9233007313
10102042030
1152666762
122a210126
13181aa0cc
14d7a3486
158e59a20
hex61509ae

102042030 has 64 divisors (see below), whose sum is σ = 261854208. Its totient is φ = 25386240.

The previous prime is 102042019. The next prime is 102042037. The reversal of 102042030 is 30240201.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102041997 and 102042015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102042037) 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, 26487 + ... + 30093.

It is an arithmetic number, because the mean of its divisors is an integer number (4091472).

Almost surely, 2102042030 is an apocalyptic number.

102042030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102042030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130927104).

102042030 is an abundant number, since it is smaller than the sum of its proper divisors (159812178).

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

102042030 is a wasteful number, since it uses less digits than its factorization.

102042030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 102042030 is about 10101.5855191153. The cubic root of 102042030 is about 467.2970398321.

Adding to 102042030 its reverse (30240201), we get a palindrome (132282231).

The spelling of 102042030 in words is "one hundred two million, forty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 41 46 69 82 115 123 138 205 230 246 345 410 615 690 943 1230 1886 2829 3607 4715 5658 7214 9430 10821 14145 18035 21642 28290 36070 54105 82961 108210 147887 165922 248883 295774 414805 443661 497766 739435 829610 887322 1244415 1478870 2218305 2488830 3401401 4436610 6802802 10204203 17007005 20408406 34014010 51021015 102042030