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451152020 = 225114214871
BaseRepresentation
bin11010111001000…
…000100010010100
31011102220220020002
4122321000202110
51410443331040
6112433430432
714115505004
oct3271004224
91142826202
10451152020
11211733210
1210710b418
1372611177
1443cbc004
1529919a15
hex1ae40894

451152020 has 48 divisors (see below), whose sum is σ = 1036215936. Its totient is φ = 163632000.

The previous prime is 451152019. The next prime is 451152029. The reversal of 451152020 is 20251154.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 451151983 and 451152001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451152029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90185 + ... + 95055.

It is an arithmetic number, because the mean of its divisors is an integer number (21587832).

Almost surely, 2451152020 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 451152020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518107968).

451152020 is an abundant number, since it is smaller than the sum of its proper divisors (585063916).

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

451152020 is a wasteful number, since it uses less digits than its factorization.

451152020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 451152020 is about 21240.3394511481. The cubic root of 451152020 is about 766.9628038920.

The spelling of 451152020 in words is "four hundred fifty-one million, one hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 421 842 1684 2105 4210 4631 4871 8420 9262 9742 18524 19484 23155 24355 46310 48710 53581 92620 97420 107162 214324 267905 535810 1071620 2050691 4101382 8202764 10253455 20506910 22557601 41013820 45115202 90230404 112788005 225576010 451152020