Search a number
-
+
3658980 = 2235134691
BaseRepresentation
bin1101111101010011100100
320212220011210
431331103210
51414041410
6210231420
743046403
oct15752344
96786153
103658980
11207a056
121285570
139b15a0
146b363a
154c4220
hex37d4e4

3658980 has 48 divisors (see below), whose sum is σ = 11035584. Its totient is φ = 900480.

The previous prime is 3658943. The next prime is 3658981. The reversal of 3658980 is 898563.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3658981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1566 + ... + 3125.

It is an arithmetic number, because the mean of its divisors is an integer number (229908).

Almost surely, 23658980 is an apocalyptic number.

3658980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3658980 is an abundant number, since it is smaller than the sum of its proper divisors (7376604).

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

3658980 is a wasteful number, since it uses less digits than its factorization.

3658980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 3658980 is about 1912.8460471245. The cubic root of 3658980 is about 154.0943369822.

The spelling of 3658980 in words is "three million, six hundred fifty-eight thousand, nine hundred eighty".

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 4691 9382 14073 18764 23455 28146 46910 56292 60983 70365 93820 121966 140730 182949 243932 281460 304915 365898 609830 731796 914745 1219660 1829490 3658980