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451340120 = 235711146539
BaseRepresentation
bin11010111001101…
…110011101011000
31011110021110020202
4122321232131120
51411020340440
6112441441332
714120220260
oct3271563530
91143243222
10451340120
11211851570
121071a0248
137267897a
1443d2a7a0
1529955615
hex1ae6e758

451340120 has 64 divisors (see below), whose sum is σ = 1266105600. Its totient is φ = 140676480.

The previous prime is 451340119. The next prime is 451340143. The reversal of 451340120 is 21043154.

It is a super-2 number, since 2×4513401202 = 407415807843228800, which contains 22 as substring.

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 = 451340092 and 451340101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70190 + ... + 76349.

It is an arithmetic number, because the mean of its divisors is an integer number (19782900).

Almost surely, 2451340120 is an apocalyptic number.

451340120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451340120 is an abundant number, since it is smaller than the sum of its proper divisors (814765480).

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

451340120 is a wasteful number, since it uses less digits than its factorization.

451340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146568 (or 146564 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 451340120 is about 21244.7668850472. The cubic root of 451340120 is about 767.0693796891.

Adding to 451340120 its reverse (21043154), we get a palindrome (472383274).

The spelling of 451340120 in words is "four hundred fifty-one million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 146539 293078 586156 732695 1025773 1172312 1465390 1611929 2051546 2930780 3223858 4103092 5128865 5861560 6447716 8059645 8206184 10257730 11283503 12895432 16119290 20515460 22567006 32238580 41030920 45134012 56417515 64477160 90268024 112835030 225670060 451340120