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1006058424 = 23375988443
BaseRepresentation
bin111011111101110…
…011101110111000
32121010002001201010
4323331303232320
54030022332144
6243455153520
733634232640
oct7375635670
92533061633
101006058424
11476991648
12240b158a0
1313057b957
1497887520
155d4cb5b9
hex3bf73bb8

1006058424 has 32 divisors (see below), whose sum is σ = 2874453120. Its totient is φ = 287445216.

The previous prime is 1006058423. The next prime is 1006058437. The reversal of 1006058424 is 4248506001.

It is a junction number, because it is equal to n+sod(n) for n = 1006058391 and 1006058400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006058423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2994054 + ... + 2994389.

It is an arithmetic number, because the mean of its divisors is an integer number (89826660).

Almost surely, 21006058424 is an apocalyptic number.

1006058424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1006058424 is an abundant number, since it is smaller than the sum of its proper divisors (1868394696).

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

1006058424 is a wasteful number, since it uses less digits than its factorization.

1006058424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988459 (or 5988455 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1006058424 is about 31718.4240466011. The cubic root of 1006058424 is about 1002.0154100602.

The spelling of 1006058424 in words is "one billion, six million, fifty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 5988443 11976886 17965329 23953772 35930658 41919101 47907544 71861316 83838202 125757303 143722632 167676404 251514606 335352808 503029212 1006058424