Search a number
-
+
3630738480 = 243515128077
BaseRepresentation
bin1101100001101000…
…1010110000110000
3100101000212121212120
43120122022300300
524413432112410
61400135154240
7155654524245
oct33032126060
910330777776
103630738480
1115a3503616
12853b15980
1345b283285
142662b15cc
15163b34570
hexd868ac30

3630738480 has 40 divisors (see below), whose sum is σ = 11255290032. Its totient is φ = 968196864.

The previous prime is 3630738469. The next prime is 3630738499. The reversal of 3630738480 is 848370363.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7563799 + ... + 7564278.

Almost surely, 23630738480 is an apocalyptic number.

3630738480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3630738480 is an abundant number, since it is smaller than the sum of its proper divisors (7624551552).

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

3630738480 is a wasteful number, since it uses less digits than its factorization.

3630738480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15128093 (or 15128087 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3630738480 is about 60255.6095313955. The cubic root of 3630738480 is about 1536.9685799083.

The spelling of 3630738480 in words is "three billion, six hundred thirty million, seven hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 15128077 30256154 45384231 60512308 75640385 90768462 121024616 151280770 181536924 226921155 242049232 302561540 363073848 453842310 605123080 726147696 907684620 1210246160 1815369240 3630738480