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5073705 = 335721359
BaseRepresentation
bin10011010110101100101001
3100112202211000
4103112230221
52244324310
6300425213
761061100
oct23265451
910482730
105073705
112955a4a
121848209
1310884c0
14961037
156a34c0
hex4d6b29

5073705 has 96 divisors (see below), whose sum is σ = 11491200. Its totient is φ = 2104704.

The previous prime is 5073689. The next prime is 5073721.

5073705 is nontrivially palindromic in base 10.

5073705 is a nontrivial binomial coefficient, being equal to C(3186, 2).

It is an interprime number because it is at equal distance from previous prime (5073689) and next prime (5073721).

It is not a de Polignac number, because 5073705 - 24 = 5073689 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85966 + ... + 86024.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

Almost surely, 25073705 is an apocalyptic number.

5073705 is the 3185-th triangular number and also the 1593-rd hexagonal number.

It is an amenable number.

5073705 is an abundant number, since it is smaller than the sum of its proper divisors (6417495).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5073705 is a wasteful number, since it uses less digits than its factorization.

5073705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 5073705 is about 2252.4886237227. The cubic root of 5073705 is about 171.8337247443.

It can be divided in two parts, 5073 and 705, that added together give a triangular number (5778 = T107).

The spelling of 5073705 in words is "five million, seventy-three thousand, seven hundred five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 49 59 63 65 91 105 117 135 147 177 189 195 245 273 295 315 351 413 441 455 531 585 637 735 767 819 885 945 1239 1323 1365 1593 1755 1911 2065 2205 2301 2457 2655 2891 3185 3717 3835 4095 5369 5733 6195 6615 6903 7965 8673 9555 11151 11505 12285 14455 16107 17199 18585 20709 26019 26845 28665 34515 37583 43365 48321 55755 78057 80535 85995 103545 112749 130095 144963 187915 241605 338247 390285 563745 724815 1014741 1691235 5073705