Search a number
-
+
17620993 = 1317711123
BaseRepresentation
bin100001100111…
…0000000000001
31020011020110101
41003032000001
514002332433
61425402401
7302530105
oct103160001
936136411
1017620993
119a45a05
125a99401
13385c630
1424a9905
15183107d
hex10ce001

17620993 has 16 divisors (see below), whose sum is σ = 20393856. Its totient is φ = 15079680.

The previous prime is 17620987. The next prime is 17620997. The reversal of 17620993 is 39902671.

It is not a de Polignac number, because 17620993 - 29 = 17620481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17620997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15130 + ... + 16252.

It is an arithmetic number, because the mean of its divisors is an integer number (1274616).

It is a Proth number, since it is equal to 2151 ⋅ 213 + 1 and 2151 < 213.

Almost surely, 217620993 is an apocalyptic number.

17620993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

17620993 is a deficient number, since it is larger than the sum of its proper divisors (2772863).

17620993 is a wasteful number, since it uses less digits than its factorization.

17620993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224.

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 17620993 is about 4197.7366520543. The cubic root of 17620993 is about 260.2216699300.

The spelling of 17620993 in words is "seventeen million, six hundred twenty thousand, nine hundred ninety-three".

Divisors: 1 13 17 71 221 923 1123 1207 14599 15691 19091 79733 248183 1036529 1355461 17620993