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1000561056 = 25311947501
BaseRepresentation
bin111011101000110…
…101100110100000
32120201201202201220
4323220311212200
54022120423211
6243141255040
733536425425
oct7350654640
92521652656
101000561056
11473877370
1223b104480
1312c3a5681
1496c55d4c
155cc92806
hex3ba359a0

1000561056 has 48 divisors (see below), whose sum is σ = 2865246048. Its totient is φ = 303200000.

The previous prime is 1000561021. The next prime is 1000561063. The reversal of 1000561056 is 6501650001.

1000561056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10005610562 = 2002244853567670272, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 472695 + ... + 474806.

It is an arithmetic number, because the mean of its divisors is an integer number (59692626).

Almost surely, 21000561056 is an apocalyptic number.

1000561056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1000561056 is an abundant number, since it is smaller than the sum of its proper divisors (1864684992).

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

1000561056 is a wasteful number, since it uses less digits than its factorization.

1000561056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947525 (or 947517 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1000561056 is about 31631.6464320149. The cubic root of 1000561056 is about 1000.1869837016.

The spelling of 1000561056 in words is "one billion, five hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 947501 1895002 2842503 3790004 5685006 7580008 10422511 11370012 15160016 20845022 22740024 30320032 31267533 41690044 45480048 62535066 83380088 90960096 125070132 166760176 250140264 333520352 500280528 1000561056