Search a number
-
+
1604613105 = 335411312213
BaseRepresentation
bin101111110100100…
…0111001111110001
311010211100210101000
41133221013033301
511241240104410
6423120232213
754522662214
oct13751071761
94124323330
101604613105
11753842637
1238946b669
131c758c714
1411317577b
1595d10dc0
hex5fa473f1

1604613105 has 64 divisors (see below), whose sum is σ = 2945859840. Its totient is φ = 828172800.

The previous prime is 1604613097. The next prime is 1604613163. The reversal of 1604613105 is 5013164061.

It is not a de Polignac number, because 1604613105 - 23 = 1604613097 is a prime.

It is a super-3 number, since 3×16046131053 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 723979 + ... + 726191.

It is an arithmetic number, because the mean of its divisors is an integer number (46029060).

Almost surely, 21604613105 is an apocalyptic number.

1604613105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1604613105 is a deficient number, since it is larger than the sum of its proper divisors (1341246735).

1604613105 is a wasteful number, since it uses less digits than its factorization.

1604613105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1604613105 is about 40057.6223083697. The cubic root of 1604613105 is about 1170.7300834500.

Adding to 1604613105 its reverse (5013164061), we get a palindrome (6617777166).

The spelling of 1604613105 in words is "one billion, six hundred four million, six hundred thirteen thousand, one hundred five".

Divisors: 1 3 5 9 15 27 41 45 123 131 135 205 369 393 615 655 1107 1179 1845 1965 2213 3537 5371 5535 5895 6639 11065 16113 17685 19917 26855 33195 48339 59751 80565 90733 99585 145017 241695 272199 289903 298755 453665 725085 816597 869709 1360995 1449515 2449791 2609127 4082985 4348545 7827381 11886023 12248955 13045635 35658069 39136905 59430115 106974207 178290345 320922621 534871035 1604613105