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930029001 = 31153279127
BaseRepresentation
bin110111011011110…
…001110111001001
32101211000100221120
4313123301313021
53401041412001
6232141425453
732022054546
oct6733616711
92354010846
10930029001
11437a82610
1221b56b289
1311a8ab925
148b735bcd
15569ae236
hex376f1dc9

930029001 has 48 divisors (see below), whose sum is σ = 1407221760. Its totient is φ = 541719360.

The previous prime is 930028991. The next prime is 930029029. The reversal of 930029001 is 100920039.

It is a happy number.

It is not a de Polignac number, because 930029001 - 25 = 930028969 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930029041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7323000 + ... + 7323126.

It is an arithmetic number, because the mean of its divisors is an integer number (29317120).

Almost surely, 2930029001 is an apocalyptic number.

It is an amenable number.

930029001 is a deficient number, since it is larger than the sum of its proper divisors (477192759).

930029001 is a wasteful number, since it uses less digits than its factorization.

930029001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 930029001 is about 30496.3768503736. The cubic root of 930029001 is about 976.1101537553.

The spelling of 930029001 in words is "nine hundred thirty million, twenty-nine thousand, one".

Divisors: 1 3 11 33 53 79 127 159 237 381 583 869 1397 1749 2607 2809 4187 4191 6731 8427 10033 12561 20193 30099 30899 46057 74041 92697 110363 138171 221911 222123 331089 356743 531749 665733 1070229 1595247 2441021 3924173 5849239 7323063 11772519 17547717 28182697 84548091 310009667 930029001