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1056697920 = 263351941157
BaseRepresentation
bin111110111110111…
…110111001000000
32201122100211001000
4332332332321000
54131003313140
6252504412000
735120532645
oct7676767100
92648324030
101056697920
114a2529873
12255a77000
1313abcc155
14a04a9dcc
1562b80a30
hex3efbee40

1056697920 has 448 divisors, whose sum is σ = 4045305600. Its totient is φ = 258785280.

The previous prime is 1056697919. The next prime is 1056697949. The reversal of 1056697920 is 297966501.

It is a happy number.

1056697920 is a `hidden beast` number, since 10 + 566 + 9 + 79 + 2 + 0 = 666.

It is a super-2 number, since 2×10566979202 = 2233220988264652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 6730482 + ... + 6730638.

It is an arithmetic number, because the mean of its divisors is an integer number (9029700).

Almost surely, 21056697920 is an apocalyptic number.

1056697920 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 1056697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022652800).

1056697920 is an abundant number, since it is smaller than the sum of its proper divisors (2988607680).

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

1056697920 is a wasteful number, since it uses less digits than its factorization.

1056697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1056697920 is about 32506.8903465096. The cubic root of 1056697920 is about 1018.5529654198.

The spelling of 1056697920 in words is "one billion, fifty-six million, six hundred ninety-seven thousand, nine hundred twenty".