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1055131200 = 263252471559
BaseRepresentation
bin111110111001000…
…000011001000000
32201112102012220100
4332321000121000
54130103144300
6252411042400
735101316154
oct7671003100
92645365810
101055131200
114a1659762
12255440400
1313a7a0cb6
14a01bd064
1562971700
hex3ee40640

1055131200 has 252 divisors, whose sum is σ = 3832433280. Its totient is φ = 275205120.

The previous prime is 1055131171. The next prime is 1055131211. The reversal of 1055131200 is 21315501.

It is a super-2 number, since 2×10551312002 = 2226603698426880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 676021 + ... + 677579.

Almost surely, 21055131200 is an apocalyptic number.

1055131200 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 1055131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916216640).

1055131200 is an abundant number, since it is smaller than the sum of its proper divisors (2777302080).

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

1055131200 is a wasteful number, since it uses less digits than its factorization.

1055131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1055131200 is about 32482.7831319916. The cubic root of 1055131200 is about 1018.0493283853.

Adding to 1055131200 its reverse (21315501), we get a palindrome (1076446701).

The spelling of 1055131200 in words is "one billion, fifty-five million, one hundred thirty-one thousand, two hundred".