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35780130 = 2345163271
BaseRepresentation
bin1000100001111…
…1011000100010
32111022211010000
42020133120202
533124431010
63314520430
7613061151
oct210373042
974284100
1035780130
1119219161
12bb96116
137549b99
144a75598
15321b7c0
hex221f622

35780130 has 80 divisors (see below), whose sum is σ = 97156224. Its totient is φ = 9447840.

The previous prime is 35780123. The next prime is 35780183. The reversal of 35780130 is 3108753.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 35780094 and 35780103.

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 39 ways as a sum of consecutive naturals, for example, 131895 + ... + 132165.

Almost surely, 235780130 is an apocalyptic number.

35780130 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 35780130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48578112).

35780130 is an abundant number, since it is smaller than the sum of its proper divisors (61376094).

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

35780130 is a wasteful number, since it uses less digits than its factorization.

35780130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 35780130 is about 5981.6494380731. The cubic root of 35780130 is about 329.5191343487.

Adding to 35780130 its reverse (3108753), we get a palindrome (38888883).

The spelling of 35780130 in words is "thirty-five million, seven hundred eighty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 163 270 271 326 405 489 542 810 813 815 978 1355 1467 1626 1630 2439 2445 2710 2934 4065 4401 4878 4890 7317 7335 8130 8802 12195 13203 14634 14670 21951 22005 24390 26406 36585 43902 44010 44173 66015 73170 88346 109755 132030 132519 219510 220865 265038 397557 441730 662595 795114 1192671 1325190 1987785 2385342 3578013 3975570 5963355 7156026 11926710 17890065 35780130