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1056402640 = 24528146993
BaseRepresentation
bin111110111101110…
…110110011010000
32201121210210222201
4332331312303100
54130414341030
6252454212544
735115163036
oct7675666320
92647723881
101056402640
114a2347a37
12255954154
1313ab27927
14a0430556
1562b232ca
hex3ef76cd0

1056402640 has 40 divisors (see below), whose sum is σ = 2464929288. Its totient is φ = 421048320.

The previous prime is 1056402631. The next prime is 1056402649. The reversal of 1056402640 is 462046501.

It is an interprime number because it is at equal distance from previous prime (1056402631) and next prime (1056402649).

It can be written as a sum of positive squares in 4 ways, for example, as 15178816 + 1041223824 = 3896^2 + 32268^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10564026402 = 2231973075597939200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1056402599 and 1056402608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056402649) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1017 + ... + 45976.

Almost surely, 21056402640 is an apocalyptic number.

1056402640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056402640 is an abundant number, since it is smaller than the sum of its proper divisors (1408526648).

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

1056402640 is a wasteful number, since it uses less digits than its factorization.

1056402640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47287 (or 47281 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1056402640 is about 32502.3482228592. The cubic root of 1056402640 is about 1018.4580829459.

The spelling of 1056402640 in words is "one billion, fifty-six million, four hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 281 562 1124 1405 2248 2810 4496 5620 11240 22480 46993 93986 187972 234965 375944 469930 751888 939860 1879720 3759440 13205033 26410066 52820132 66025165 105640264 132050330 211280528 264100660 528201320 1056402640