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1055843964 = 2233721271571
BaseRepresentation
bin111110111011101…
…110011001111100
32201120202102122000
4332323232121330
54130244001324
6252434222300
735110345200
oct7673563174
92646672560
101055843964
114a1aa621a
12255724990
1313a990556
14a0326b00
1562a629c9
hex3eeee67c

1055843964 has 144 divisors (see below), whose sum is σ = 3211407360. Its totient is φ = 299103840.

The previous prime is 1055843963. The next prime is 1055843981. The reversal of 1055843964 is 4693485501.

1055843964 is a `hidden beast` number, since 1 + 0 + 5 + 584 + 3 + 9 + 64 = 666.

It is a super-2 number, since 2×10558439642 = 2229612952630466592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055843963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671299 + ... + 672869.

It is an arithmetic number, because the mean of its divisors is an integer number (22301440).

Almost surely, 21055843964 is an apocalyptic number.

1055843964 is a gapful number since it is divisible by the number (14) 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 1055843964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605703680).

1055843964 is an abundant number, since it is smaller than the sum of its proper divisors (2155563396).

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

1055843964 is a wasteful number, since it uses less digits than its factorization.

1055843964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 1055843964 is about 32493.7526918637. The cubic root of 1055843964 is about 1018.2785149168.

The spelling of 1055843964 in words is "one billion, fifty-five million, eight hundred forty-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 127 147 189 196 252 254 294 378 381 441 508 588 756 762 882 889 1143 1323 1524 1571 1764 1778 2286 2646 2667 3142 3429 3556 4572 4713 5292 5334 6223 6284 6858 8001 9426 10668 10997 12446 13716 14139 16002 18669 18852 21994 24003 24892 28278 32004 32991 37338 42417 43988 48006 56007 56556 65982 74676 76979 84834 96012 98973 112014 131964 153958 168021 169668 197946 199517 224028 230937 296919 307916 336042 395892 399034 461874 593838 598551 672084 692811 798068 923748 1187676 1197102 1385622 1396619 1795653 2078433 2394204 2771244 2793238 3591306 4156866 4189857 5386959 5586476 7182612 8313732 8379714 9776333 10773918 12569571 16759428 19552666 21547836 25139142 29328999 37708713 39105332 50278284 58657998 75417426 87986997 117315996 150834852 175973994 263960991 351947988 527921982 1055843964