Search a number
-
+
1639028745 = 325312151251
BaseRepresentation
bin110000110110001…
…1001100000001001
311020020010021202100
41201230121200021
511324042404440
6430350024013
755421341314
oct14154314011
94206107670
101639028745
11771209612
12398aa8009
1320174c4c3
1411797397b
1598d5d230
hex61b19809

1639028745 has 72 divisors (see below), whose sum is σ = 2966798016. Its totient is φ = 837000000.

The previous prime is 1639028731. The next prime is 1639028753. The reversal of 1639028745 is 5478209361.

1639028745 is a `hidden beast` number, since 1 + 639 + 0 + 2 + 8 + 7 + 4 + 5 = 666.

1639028745 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1639028745 - 219 = 1638504457 is a prime.

It is a super-3 number, since 3×16390287453 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

1639028745 is strictly pandigital in base 10.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1639028745.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6529870 + ... + 6530120.

It is an arithmetic number, because the mean of its divisors is an integer number (41205528).

It is a 1-persistent number, because it is pandigital, but 2⋅1639028745 = 3278057490 is not.

Almost surely, 21639028745 is an apocalyptic number.

1639028745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1639028745 is a deficient number, since it is larger than the sum of its proper divisors (1327769271).

1639028745 is a wasteful number, since it uses less digits than its factorization.

1639028745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1639028745 is about 40484.9199702803. The cubic root of 1639028745 is about 1179.0408621266.

The spelling of 1639028745 in words is "one billion, six hundred thirty-nine million, twenty-eight thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 31 45 93 151 155 251 279 453 465 753 755 961 1255 1359 1395 2259 2265 2883 3765 4681 4805 6795 7781 8649 11295 14043 14415 23343 23405 37901 38905 42129 43245 70029 70215 113703 116715 145111 189505 210645 241211 341109 350145 435333 568515 723633 725555 1174931 1206055 1305999 1705545 2170899 2176665 3524793 3618165 5874655 6529995 10574379 10854495 17623965 36422861 52871895 109268583 182114305 327805749 546342915 1639028745