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1057131945 = 3357830607
BaseRepresentation
bin111111000000101…
…000110110101001
32201200011212102000
4333000220312221
54131111210240
6252522001213
735124321222
oct7700506651
92650155360
101057131945
114a27a5971
12256046209
1313b02187c
14a0580249
1562c19430
hex3f028da9

1057131945 has 16 divisors (see below), whose sum is σ = 1879345920. Its totient is φ = 563803632.

The previous prime is 1057131941. The next prime is 1057131949. The reversal of 1057131945 is 5491317501.

It is a happy number.

1057131945 is a `hidden beast` number, since 10 + 571 + 31 + 9 + 45 = 666.

1057131945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1057131941) and next prime (1057131949).

It is not a de Polignac number, because 1057131945 - 22 = 1057131941 is a prime.

It is a super-2 number, since 2×10571319452 = 2235055898278966050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057131941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3915169 + ... + 3915438.

It is an arithmetic number, because the mean of its divisors is an integer number (117459120).

Almost surely, 21057131945 is an apocalyptic number.

1057131945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1057131945 is a deficient number, since it is larger than the sum of its proper divisors (822213975).

1057131945 is an equidigital number, since it uses as much as digits as its factorization.

1057131945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7830621 (or 7830615 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 1057131945 is about 32513.5655534732. The cubic root of 1057131945 is about 1018.6923988158.

The spelling of 1057131945 in words is "one billion, fifty-seven million, one hundred thirty-one thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 7830607 23491821 39153035 70475463 117459105 211426389 352377315 1057131945