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1056634992 = 243271955171
BaseRepresentation
bin111110111110101…
…111100001110000
32201122020121201100
4332332233201300
54130444304432
6252503204400
735120151330
oct7676574160
92648217640
101056634992
114a2496566
12255a46700
1313aba960a
14a04910c0
1562b6c07c
hex3efaf870

1056634992 has 120 divisors (see below), whose sum is σ = 3557490560. Its totient is φ = 286001280.

The previous prime is 1056634979. The next prime is 1056635003. The reversal of 1056634992 is 2994366501.

1056634992 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 634 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×10566349922 = 2232955012637680128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8434 + ... + 46737.

Almost surely, 21056634992 is an apocalyptic number.

1056634992 is a gapful number since it is divisible by the number (12) 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 1056634992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778745280).

1056634992 is an abundant number, since it is smaller than the sum of its proper divisors (2500855568).

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

1056634992 is a wasteful number, since it uses less digits than its factorization.

1056634992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55211 (or 55202 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 1056634992 is about 32505.9224142309. The cubic root of 1056634992 is about 1018.5327462155.

The spelling of 1056634992 in words is "one billion, fifty-six million, six hundred thirty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 9576 19152 55171 110342 165513 220684 331026 386197 441368 496539 662052 772394 882736 993078 1048249 1158591 1324104 1544788 1986156 2096498 2317182 2648208 3089576 3144747 3475773 3972312 4192996 4634364 6179152 6289494 6951546 7337743 7944624 8385992 9268728 9434241 12578988 13903092 14675486 16771984 18537456 18868482 22013229 25157976 27806184 29350972 37736964 44026458 50315952 55612368 58701944 66039687 75473928 88052916 117403888 132079374 150947856 176105832 264158748 352211664 528317496 1056634992