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1000133856 = 253219182773
BaseRepresentation
bin111011100111001…
…101010011100000
32120200221001201200
4323213031103200
54022013240411
6243124201200
733532666101
oct7347152340
92520831650
101000133856
11473605407
1223ab39200
1312c2860a7
1496b843a8
155cc0ae56
hex3b9cd4e0

1000133856 has 72 divisors (see below), whose sum is σ = 2993838120. Its totient is φ = 315830016.

The previous prime is 1000133833. The next prime is 1000133891. The reversal of 1000133856 is 6583310001.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85915 + ... + 96858.

It is an arithmetic number, because the mean of its divisors is an integer number (41581085).

Almost surely, 21000133856 is an apocalyptic number.

1000133856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1000133856 is an abundant number, since it is smaller than the sum of its proper divisors (1993704264).

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

1000133856 is a wasteful number, since it uses less digits than its factorization.

1000133856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182808 (or 182797 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1000133856 is about 31624.8929800561. The cubic root of 1000133856 is about 1000.0446166760.

Adding to 1000133856 its reverse (6583310001), we get a palindrome (7583443857).

The spelling of 1000133856 in words is "one billion, one hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 182773 365546 548319 731092 1096638 1462184 1644957 2193276 2924368 3289914 3472687 4386552 5848736 6579828 6945374 8773104 10418061 13159656 13890748 17546208 20836122 26319312 27781496 31254183 41672244 52638624 55562992 62508366 83344488 111125984 125016732 166688976 250033464 333377952 500066928 1000133856