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455616980 = 2257131391801
BaseRepresentation
bin11011001010000…
…010100111010100
31011202022201222222
4123022002213110
51413114220410
6113113241512
714201452250
oct3312024724
91152281888
10455616980
11214202865
12108703298
1373515560
1444721260
1529eec955
hex1b2829d4

455616980 has 96 divisors (see below), whose sum is σ = 1186725120. Its totient is φ = 143078400.

The previous prime is 455616961. The next prime is 455616989. The reversal of 455616980 is 89616554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455616989) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 252080 + ... + 253880.

It is an arithmetic number, because the mean of its divisors is an integer number (12361720).

Almost surely, 2455616980 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 455616980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593362560).

455616980 is an abundant number, since it is smaller than the sum of its proper divisors (731108140).

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

455616980 is a wasteful number, since it uses less digits than its factorization.

455616980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 455616980 is about 21345.1863425926. The cubic root of 455616980 is about 769.4846610786.

The spelling of 455616980 in words is "four hundred fifty-five million, six hundred sixteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 139 140 182 260 278 364 455 556 695 910 973 1390 1801 1807 1820 1946 2780 3602 3614 3892 4865 7204 7228 9005 9035 9730 12607 12649 18010 18070 19460 23413 25214 25298 36020 36140 46826 50428 50596 63035 63245 93652 117065 126070 126490 163891 234130 250339 252140 252980 327782 468260 500678 655564 819455 1001356 1251695 1638910 1752373 2503390 3254407 3277820 3504746 5006780 6508814 7009492 8761865 13017628 16272035 17523730 22780849 32544070 35047460 45561698 65088140 91123396 113904245 227808490 455616980