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1059282072 = 2332192926701
BaseRepresentation
bin111111001000110…
…101110010011000
32201211020002211100
4333020311302120
54132134011242
6253040031400
735151514632
oct7710656230
92654202740
101059282072
114a3a34332
12256902560
1313b5c5434
14a097da52
1562ee154c
hex3f235c98

1059282072 has 96 divisors (see below), whose sum is σ = 3124134000. Its totient is φ = 322963200.

The previous prime is 1059282023. The next prime is 1059282073. The reversal of 1059282072 is 2702829501.

It is a super-2 number, since 2×10592820722 = 2244157016121226368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059282073) 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, 26322 + ... + 53022.

Almost surely, 21059282072 is an apocalyptic number.

1059282072 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 1059282072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562067000).

1059282072 is an abundant number, since it is smaller than the sum of its proper divisors (2064851928).

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

1059282072 is a wasteful number, since it uses less digits than its factorization.

1059282072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26761 (or 26754 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1059282072 is about 32546.6138330856. The cubic root of 1059282072 is about 1019.3825790520.

The spelling of 1059282072 in words is "one billion, fifty-nine million, two hundred eighty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 29 36 38 57 58 72 76 87 114 116 152 171 174 228 232 261 342 348 456 522 551 684 696 1044 1102 1368 1653 2088 2204 3306 4408 4959 6612 9918 13224 19836 26701 39672 53402 80103 106804 160206 213608 240309 320412 480618 507319 640824 774329 961236 1014638 1521957 1548658 1922472 2029276 2322987 3043914 3097316 4058552 4565871 4645974 6087828 6194632 6968961 9131742 9291948 12175656 13937922 14712251 18263484 18583896 27875844 29424502 36526968 44136753 55751688 58849004 88273506 117698008 132410259 176547012 264820518 353094024 529641036 1059282072