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1453137840 = 243357118737
BaseRepresentation
bin101011010011101…
…0001111110110000
310202021100001101000
41112213101332300
510434000402330
6400105442000
751003316320
oct12647217660
93667301330
101453137840
11686292a70
123467a0300
131a209519b
14dadc5280
158788e560
hex569d1fb0

1453137840 has 320 divisors, whose sum is σ = 6241029120. Its totient is φ = 301916160.

The previous prime is 1453137839. The next prime is 1453137877. The reversal of 1453137840 is 487313541.

It is a happy number.

1453137840 is a `hidden beast` number, since 14 + 531 + 3 + 78 + 40 = 666.

It is a super-2 number, since 2×14531378402 = 4223219164079731200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1453137795 and 1453137804.

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 63 ways as a sum of consecutive naturals, for example, 161952 + ... + 170688.

It is an arithmetic number, because the mean of its divisors is an integer number (19503216).

Almost surely, 21453137840 is an apocalyptic number.

1453137840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1453137840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120514560).

1453137840 is an abundant number, since it is smaller than the sum of its proper divisors (4787891280).

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

1453137840 is a wasteful number, since it uses less digits than its factorization.

1453137840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8777 (or 8765 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1453137840 is about 38120.0451206449. The cubic root of 1453137840 is about 1132.6670601320.

The spelling of 1453137840 in words is "one billion, four hundred fifty-three million, one hundred thirty-seven thousand, eight hundred forty".