Search a number
-
+
482403120 = 24356772969
BaseRepresentation
bin11100110000001…
…110001100110000
31020121201121200020
4130300032030300
51441443344440
6115511323440
714645234043
oct3460161460
91217647606
10482403120
11228338671
12115680580
1378c33744
14480d4c5a
152c53e3d0
hex1cc0e330

482403120 has 80 divisors (see below), whose sum is σ = 1498163040. Its totient is φ = 128407552.

The previous prime is 482403113. The next prime is 482403133. The reversal of 482403120 is 21304284.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160996 + ... + 163964.

It is an arithmetic number, because the mean of its divisors is an integer number (18727038).

Almost surely, 2482403120 is an apocalyptic number.

482403120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749081520).

482403120 is an abundant number, since it is smaller than the sum of its proper divisors (1015759920).

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

482403120 is a wasteful number, since it uses less digits than its factorization.

482403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662 (or 3656 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 482403120 is about 21963.6772877403. The cubic root of 482403120 is about 784.2780060167.

It can be divided in two parts, 48240 and 3120, that added together give a triangular number (51360 = T320).

The spelling of 482403120 in words is "four hundred eighty-two million, four hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 677 1354 2031 2708 2969 3385 4062 5416 5938 6770 8124 8907 10155 10832 11876 13540 14845 16248 17814 20310 23752 27080 29690 32496 35628 40620 44535 47504 54160 59380 71256 81240 89070 118760 142512 162480 178140 237520 356280 712560 2010013 4020026 6030039 8040052 10050065 12060078 16080104 20100130 24120156 30150195 32160208 40200260 48240312 60300390 80400520 96480624 120600780 160801040 241201560 482403120