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924006993 = 371321971193
BaseRepresentation
bin110111000100110…
…011101001010001
32101101200102022020
4313010303221101
53343021210433
6231404402053
731616633640
oct6704635121
92341612266
10924006993
1143463a148
12219546329
13119580900
148aa09357
15561becb3
hex37133a51

924006993 has 96 divisors (see below), whose sum is σ = 1635932160. Its totient is φ = 452874240.

The previous prime is 924006977. The next prime is 924007009. The reversal of 924006993 is 399600429.

924006993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (924006977) and next prime (924007009).

It is not a de Polignac number, because 924006993 - 24 = 924006977 is a prime.

It is a super-2 number, since 2×9240069932 = 1707577846225804098, which contains 22 as substring.

924006993 is a modest number, since divided by 6993 gives 924 as remainder.

It is not an unprimeable number, because it can be changed into a prime (924006973) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4787505 + ... + 4787697.

It is an arithmetic number, because the mean of its divisors is an integer number (17040960).

Almost surely, 2924006993 is an apocalyptic number.

It is an amenable number.

924006993 is a deficient number, since it is larger than the sum of its proper divisors (711925167).

924006993 is a wasteful number, since it uses less digits than its factorization.

924006993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 924006993 is about 30397.4833333288. The cubic root of 924006993 is about 973.9987944587.

The spelling of 924006993 in words is "nine hundred twenty-four million, six thousand, nine hundred ninety-three".

Divisors: 1 3 7 13 19 21 39 57 71 91 133 169 193 213 247 273 399 497 507 579 741 923 1183 1349 1351 1491 1729 2509 2769 3211 3549 3667 4047 4053 5187 6461 7527 9443 9633 11001 11999 13703 17537 17563 19383 22477 25669 28329 32617 35997 41109 47671 52611 52689 67431 77007 83993 95921 97851 122759 143013 178139 227981 228319 251979 260357 287763 333697 368277 534417 619723 683943 684957 781071 1001091 1246973 1595867 1822499 1859169 2315807 3384641 3740919 4338061 4787601 5467497 6947421 10153923 13014183 16210649 23692487 44000333 48631947 71077461 132000999 308002331 924006993