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35130030 = 23513441
BaseRepresentation
bin1000011000000…
…0101010101110
32110002210100020
42012000222232
532443130110
63252543010
7604412625
oct206005256
973083306
1035130030
1118914791
12b921a66
137380000
1449466bc
15313dd70
hex2180aae

35130030 has 80 divisors (see below), whose sum is σ = 93565584. Its totient is φ = 8436480.

The previous prime is 35130013. The next prime is 35130061. The reversal of 35130030 is 3003153.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 35129991 and 35130009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 856810 + ... + 856850.

Almost surely, 235130030 is an apocalyptic number.

35130030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35130030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46782792).

35130030 is an abundant number, since it is smaller than the sum of its proper divisors (58435554).

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

35130030 is an equidigital number, since it uses as much as digits as its factorization.

35130030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 35130030 is about 5927.0591358616. The cubic root of 35130030 is about 327.5112130263.

Adding to 35130030 its reverse (3003153), we get a palindrome (38133183).

It can be divided in two parts, 351 and 30030, that added together give a triangular number (30381 = T246).

The spelling of 35130030 in words is "thirty-five million, one hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 169 195 205 246 338 390 410 507 533 615 845 1014 1066 1230 1599 1690 2197 2535 2665 3198 4394 5070 5330 6591 6929 7995 10985 13182 13858 15990 20787 21970 28561 32955 34645 41574 57122 65910 69290 85683 90077 103935 142805 171366 180154 207870 270231 285610 428415 450385 540462 856830 900770 1171001 1351155 2342002 2702310 3513003 5855005 7026006 11710010 17565015 35130030