Search a number
-
+
35328540 = 22351345293
BaseRepresentation
bin1000011011000…
…1001000011100
32110110212122110
42012301020130
533021003130
63301114020
7606200442
oct206611034
973425573
1035328540
1118a3a945
12b9b8910
13741c480
144998b92
15317cab0
hex21b121c

35328540 has 48 divisors (see below), whose sum is σ = 106531488. Its totient is φ = 8696064.

The previous prime is 35328523. The next prime is 35328541. The reversal of 35328540 is 4582353.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 35328498 and 35328507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35328541) 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, 21867 + ... + 23426.

It is an arithmetic number, because the mean of its divisors is an integer number (2219406).

Almost surely, 235328540 is an apocalyptic number.

35328540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35328540 is an abundant number, since it is smaller than the sum of its proper divisors (71202948).

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

35328540 is a wasteful number, since it uses less digits than its factorization.

35328540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45318 (or 45316 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 35328540 is about 5943.7816245215. The cubic root of 35328540 is about 328.1269462016.

The spelling of 35328540 in words is "thirty-five million, three hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 45293 90586 135879 181172 226465 271758 452930 543516 588809 679395 905860 1177618 1358790 1766427 2355236 2717580 2944045 3532854 5888090 7065708 8832135 11776180 17664270 35328540