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451020020 = 2251114913759
BaseRepresentation
bin11010111000100…
…000010011110100
31011102200012011012
4122320200103310
51410430120040
6112430531352
714114415113
oct3270402364
91142605135
10451020020
11211653020
12107066b58
1372596069
1443c85c7a
15298e0865
hex1ae204f4

451020020 has 48 divisors (see below), whose sum is σ = 1040256000. Its totient is φ = 162894720.

The previous prime is 451020001. The next prime is 451020067. The reversal of 451020020 is 20020154.

It is a junction number, because it is equal to n+sod(n) for n = 451019977 and 451020004.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 25901 + ... + 39659.

It is an arithmetic number, because the mean of its divisors is an integer number (21672000).

Almost surely, 2451020020 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 451020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520128000).

451020020 is an abundant number, since it is smaller than the sum of its proper divisors (589235980).

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

451020020 is a wasteful number, since it uses less digits than its factorization.

451020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13928 (or 13926 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 451020020 is about 21237.2319288555. The cubic root of 451020020 is about 766.8879961695.

Adding to 451020020 its reverse (20020154), we get a palindrome (471040174).

The spelling of 451020020 in words is "four hundred fifty-one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 298 596 745 1490 1639 2980 3278 6556 8195 13759 16390 27518 32780 55036 68795 137590 151349 275180 302698 605396 756745 1513490 2050091 3026980 4100182 8200364 10250455 20500910 22551001 41001820 45102002 90204004 112755005 225510010 451020020