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1058974640 = 24561217003
BaseRepresentation
bin111111000111101…
…010101110110000
32201210122111002222
4333013222232300
54132044142030
6253025300212
735146064423
oct7707525660
92653574088
101058974640
114a3844359
12256794668
1313b518519
14a08dd9ba
1562e803e5
hex3f1eabb0

1058974640 has 40 divisors (see below), whose sum is σ = 2502490128. Its totient is φ = 416643840.

The previous prime is 1058974639. The next prime is 1058974649. The reversal of 1058974640 is 464798501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10589746402 = 2242854576326259200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1058974591 and 1058974600.

It is not an unprimeable number, because it can be changed into a prime (1058974649) 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, 103622 + ... + 113381.

Almost surely, 21058974640 is an apocalyptic number.

1058974640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1058974640 is an abundant number, since it is smaller than the sum of its proper divisors (1443515488).

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

1058974640 is a wasteful number, since it uses less digits than its factorization.

1058974640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217077 (or 217071 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 1058974640 is about 32541.8905412700. The cubic root of 1058974640 is about 1019.2839521434.

The spelling of 1058974640 in words is "one billion, fifty-eight million, nine hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 217003 434006 868012 1085015 1736024 2170030 3472048 4340060 8680120 13237183 17360240 26474366 52948732 66185915 105897464 132371830 211794928 264743660 529487320 1058974640