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1057679028 = 223274197139
BaseRepresentation
bin111111000010101…
…110011010110100
32201201012122212100
4333002232122310
54131231212103
6252541422100
735132060220
oct7702563264
92651178770
101057679028
114a30399aa
1225626a930
1313b1838a3
14a0683780
1562cc65a3
hex3f0ae6b4

1057679028 has 36 divisors (see below), whose sum is σ = 3055517920. Its totient is φ = 302193936.

The previous prime is 1057679027. The next prime is 1057679069. The reversal of 1057679028 is 8209767501.

1057679028 is a `hidden beast` number, since 1 + 0 + 576 + 79 + 0 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10576790282 = 2237369852542049568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057679027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2098318 + ... + 2098821.

Almost surely, 21057679028 is an apocalyptic number.

1057679028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1057679028 is an abundant number, since it is smaller than the sum of its proper divisors (1997838892).

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

1057679028 is a wasteful number, since it uses less digits than its factorization.

1057679028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197156 (or 4197151 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1057679028 is about 32521.9776151451. The cubic root of 1057679028 is about 1018.8680984797.

The spelling of 1057679028 in words is "one billion, fifty-seven million, six hundred seventy-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4197139 8394278 12591417 16788556 25182834 29379973 37774251 50365668 58759946 75548502 88139919 117519892 151097004 176279838 264419757 352559676 528839514 1057679028