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1897132320 = 253354110711
BaseRepresentation
bin111000100010011…
…1111000100100000
311220012210022022000
41301010333010200
512341131213240
6512130044000
765004234006
oct16104770440
94805708260
101897132320
11893977656
1244b419600
1324306b505
1413dd5ca76
15b1843430
hex7113f120

1897132320 has 192 divisors, whose sum is σ = 6802548480. Its totient is φ = 493516800.

The previous prime is 1897132319. The next prime is 1897132333. The reversal of 1897132320 is 232317981.

It is a super-2 number, since 2×18971323202 = 7198222079177164800, which contains 22 as substring.

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

It is an unprimeable number.

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, 171765 + ... + 182475.

It is an arithmetic number, because the mean of its divisors is an integer number (35429940).

Almost surely, 21897132320 is an apocalyptic number.

1897132320 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 1897132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401274240).

1897132320 is an abundant number, since it is smaller than the sum of its proper divisors (4905416160).

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

1897132320 is a wasteful number, since it uses less digits than its factorization.

1897132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10776 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1897132320 is about 43556.0824684682. The cubic root of 1897132320 is about 1237.9388929919.

The spelling of 1897132320 in words is "one billion, eight hundred ninety-seven million, one hundred thirty-two thousand, three hundred twenty".