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1055371200 = 263521321301
BaseRepresentation
bin111110111001111…
…010111111000000
32201112212102010020
4332321322333000
54130133334300
6252420133440
735103335652
oct7671727700
92645772106
101055371200
114a1803004
12255537280
1313a856300
14a02426d2
15629bc8a0
hex3ee7afc0

1055371200 has 252 divisors, whose sum is σ = 3752212968. Its totient is φ = 259584000.

The previous prime is 1055371199. The next prime is 1055371211. The reversal of 1055371200 is 21735501.

It is a super-2 number, since 2×10553712002 = 2227616739578880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 810550 + ... + 811850.

It is an arithmetic number, because the mean of its divisors is an integer number (14889734).

Almost surely, 21055371200 is an apocalyptic number.

1055371200 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 1055371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876106484).

1055371200 is an abundant number, since it is smaller than the sum of its proper divisors (2696841768).

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

1055371200 is a wasteful number, since it uses less digits than its factorization.

1055371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 1055371200 is about 32486.4771866695. The cubic root of 1055371200 is about 1018.1265109878.

The spelling of 1055371200 in words is "one billion, fifty-five million, three hundred seventy-one thousand, two hundred".