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1058400042 = 237177272039
BaseRepresentation
bin111111000101011…
…110011100101010
32201202120021220120
4333011132130222
54131422300132
6253005104110
735141152260
oct7705363452
92652507816
101058400042
114a3491687
12256558036
1313b376b1b
14a07d0430
1562dba02c
hex3f15e72a

1058400042 has 64 divisors (see below), whose sum is σ = 2566287360. Its totient is φ = 284080896.

The previous prime is 1058400041. The next prime is 1058400043. The reversal of 1058400042 is 2400048501.

It is an interprime number because it is at equal distance from previous prime (1058400041) and next prime (1058400043).

It is a super-2 number, since 2×10584000422 = 2240421297811203528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1058399985 and 1058400021.

It is not an unprimeable number, because it can be changed into a prime (1058400041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518059 + ... + 520097.

It is an arithmetic number, because the mean of its divisors is an integer number (40098240).

Almost surely, 21058400042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1058400042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283143680).

1058400042 is an abundant number, since it is smaller than the sum of its proper divisors (1507887318).

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

1058400042 is a wasteful number, since it uses less digits than its factorization.

1058400042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795.

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1058400042 is about 32533.0607536395. The cubic root of 1058400042 is about 1019.0995648252.

Adding to 1058400042 its reverse (2400048501), we get a palindrome (3458448543).

The spelling of 1058400042 in words is "one billion, fifty-eight million, four hundred thousand, forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 727 1454 2039 2181 4078 4362 5089 6117 10178 12234 12359 14273 15267 24718 28546 30534 34663 37077 42819 69326 74154 85638 86513 103989 173026 207978 242641 259539 485282 519078 727923 1455846 1482353 2964706 4447059 8894118 10376471 20752942 25200001 31129413 50400002 62258826 75600003 151200006 176400007 352800014 529200021 1058400042