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1453665040 = 24526716803
BaseRepresentation
bin101011010100101…
…0010101100010000
310202022022211112221
41112221102230100
510434114240130
6400125030424
751010643332
oct12651225420
93668284487
101453665040
11686613073
123469b5414
131a221b139
14db0c1452
158794587a
hex56a52b10

1453665040 has 40 divisors (see below), whose sum is σ = 3381533568. Its totient is φ = 581162880.

The previous prime is 1453665013. The next prime is 1453665047. The reversal of 1453665040 is 405663541.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×14536650402 = 4226284097036403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1453664987 and 1453665005.

It is not an unprimeable number, because it can be changed into a prime (1453665047) 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 7 ways as a sum of consecutive naturals, for example, 210279 + ... + 217081.

Almost surely, 21453665040 is an apocalyptic number.

1453665040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1453665040 is an abundant number, since it is smaller than the sum of its proper divisors (1927868528).

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

1453665040 is a wasteful number, since it uses less digits than its factorization.

1453665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9487 (or 9481 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 1453665040 is about 38126.9594906282. The cubic root of 1453665040 is about 1132.8040211868.

The spelling of 1453665040 in words is "one billion, four hundred fifty-three million, six hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2671 5342 6803 10684 13355 13606 21368 26710 27212 34015 42736 53420 54424 68030 106840 108848 136060 213680 272120 544240 18170813 36341626 72683252 90854065 145366504 181708130 290733008 363416260 726832520 1453665040