Search a number
-
+
481300020 = 2232519140731
BaseRepresentation
bin11100101100000…
…000111000110100
31020112122120111200
4130230000320310
51441203100040
6115431532500
714632661025
oct3454007064
91215576450
10481300020
11227754913
1211522a130
1378938616
1447cc8c4c
152c3c2630
hex1cb00e34

481300020 has 72 divisors (see below), whose sum is σ = 1536793440. Its totient is φ = 121590720.

The previous prime is 481300019. The next prime is 481300021. The reversal of 481300020 is 20003184.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (481300019) and next prime (481300021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 481299966 and 481300002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481300021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66946 + ... + 73785.

Almost surely, 2481300020 is an apocalyptic number.

It is an amenable number.

481300020 is an abundant number, since it is smaller than the sum of its proper divisors (1055493420).

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

481300020 is a wasteful number, since it uses less digits than its factorization.

481300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140765 (or 140760 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 481300020 is about 21938.5510004649. The cubic root of 481300020 is about 783.6797530196.

The spelling of 481300020 in words is "four hundred eighty-one million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 140731 281462 422193 562924 703655 844386 1266579 1407310 1688772 2110965 2533158 2673889 2814620 4221930 5066316 5347778 6332895 8021667 8443860 10695556 12665790 13369445 16043334 24065001 25331580 26738890 32086668 40108335 48130002 53477780 80216670 96260004 120325005 160433340 240650010 481300020