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1059007992 = 233725915263
BaseRepresentation
bin111111000111110…
…010110111111000
32201210201011212020
4333013302313320
54132101223432
6253030114440
735146263600
oct7707626770
92653634766
101059007992
114a3867419
122567aba20
1313b52a763
14a090bc00
1562e8a22c
hex3f1f2df8

1059007992 has 96 divisors (see below), whose sum is σ = 3132172800. Its totient is φ = 297425856.

The previous prime is 1059007991. The next prime is 1059008003. The reversal of 1059007992 is 2997009501.

It is a super-2 number, since 2×10590079922 = 2242995854239744128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059007991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61753 + ... + 77015.

It is an arithmetic number, because the mean of its divisors is an integer number (32626800).

Almost surely, 21059007992 is an apocalyptic number.

1059007992 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 1059007992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566086400).

1059007992 is an abundant number, since it is smaller than the sum of its proper divisors (2073164808).

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

1059007992 is a wasteful number, since it uses less digits than its factorization.

1059007992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15345 (or 15334 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 42.

The square root of 1059007992 is about 32542.4029844140. The cubic root of 1059007992 is about 1019.2946526834.

The spelling of 1059007992 in words is "one billion, fifty-nine million, seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 59 84 98 118 147 168 177 196 236 294 354 392 413 472 588 708 826 1176 1239 1416 1652 2478 2891 3304 4956 5782 8673 9912 11564 15263 17346 23128 30526 34692 45789 61052 69384 91578 106841 122104 183156 213682 320523 366312 427364 641046 747887 854728 900517 1282092 1495774 1801034 2243661 2564184 2701551 2991548 3602068 4487322 5403102 5983096 6303619 7204136 8974644 10806204 12607238 17949288 18910857 21612408 25214476 37821714 44125333 50428952 75643428 88250666 132375999 151286856 176501332 264751998 353002664 529503996 1059007992