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1055166400 = 26522353541
BaseRepresentation
bin111110111001001…
…000111111000000
32201112111000012001
4332321020333000
54130110311100
6252411513344
735101523611
oct7671107700
92645430161
101055166400
114a1683152
12255458854
1313a7b4022
14a01cbc08
156297bd6a
hex3ee48fc0

1055166400 has 168 divisors, whose sum is σ = 2765474784. Its totient is φ = 395366400.

The previous prime is 1055166397. The next prime is 1055166401. The reversal of 1055166400 is 46615501.

It is a super-2 number, since 2×10551664002 = 2226752263377920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055166401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1950130 + ... + 1950670.

Almost surely, 21055166400 is an apocalyptic number.

1055166400 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 1055166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382737392).

1055166400 is an abundant number, since it is smaller than the sum of its proper divisors (1710308384).

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

1055166400 is a wasteful number, since it uses less digits than its factorization.

1055166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 1055166400 is about 32483.3249529663. The cubic root of 1055166400 is about 1018.0606492327.

It can be divided in two parts, 105 and 5166400, that added together give a triangular number (5166505 = T3214).

The spelling of 1055166400 in words is "one billion, fifty-five million, one hundred sixty-six thousand, four hundred".