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481065420 = 2235111814027
BaseRepresentation
bin11100101011000…
…111100111001100
31020112012122200210
4130223013213030
51441123043140
6115422522420
714630663043
oct3453074714
91215178623
10481065420
11227604630
12115136410
13788858c4
1447c6755a
152c377d80
hex1cac79cc

481065420 has 96 divisors (see below), whose sum is σ = 1477921536. Its totient is φ = 115948800.

The previous prime is 481065413. The next prime is 481065421. The reversal of 481065420 is 24560184.

It is a super-3 number, since 3×4810654203 (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (481065421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117447 + ... + 121473.

It is an arithmetic number, because the mean of its divisors is an integer number (15395016).

Almost surely, 2481065420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481065420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738960768).

481065420 is an abundant number, since it is smaller than the sum of its proper divisors (996856116).

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

481065420 is a wasteful number, since it uses less digits than its factorization.

481065420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4231 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 481065420 is about 21933.2035963742. The cubic root of 481065420 is about 783.5524026893.

The spelling of 481065420 in words is "four hundred eighty-one million, sixty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 181 220 330 362 543 660 724 905 1086 1810 1991 2172 2715 3620 3982 4027 5430 5973 7964 8054 9955 10860 11946 12081 16108 19910 20135 23892 24162 29865 39820 40270 44297 48324 59730 60405 80540 88594 119460 120810 132891 177188 221485 241620 265782 442970 531564 664455 728887 885940 1328910 1457774 2186661 2657820 2915548 3644435 4373322 7288870 8017757 8746644 10933305 14577740 16035514 21866610 24053271 32071028 40088785 43733220 48106542 80177570 96213084 120266355 160355140 240532710 481065420