Search a number
-
+
660408084 = 22327379677
BaseRepresentation
bin100111010111010…
…000011100010100
31201000200012120200
4213113100130110
52323031024314
6145310500500
722236243000
oct4727203424
91630605520
10660408084
11309868406
12165204730
13a6a8951b
14639cd700
153cea1709
hex275d0714

660408084 has 144 divisors (see below), whose sum is σ = 1974336000. Its totient is φ = 186024384.

The previous prime is 660408041. The next prime is 660408101. The reversal of 660408084 is 480804066.

It is a super-2 number, since 2×6604080842 = 872277674825102112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 975154 + ... + 975830.

Almost surely, 2660408084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 660408084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987168000).

660408084 is an abundant number, since it is smaller than the sum of its proper divisors (1313927916).

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

660408084 is a wasteful number, since it uses less digits than its factorization.

660408084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 660408084 is about 25698.4062540851. The cubic root of 660408084 is about 870.8381775565.

The spelling of 660408084 in words is "six hundred sixty million, four hundred eight thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 79 84 98 126 147 158 196 237 252 294 316 343 441 474 553 588 677 686 711 882 948 1029 1106 1354 1372 1422 1659 1764 2031 2058 2212 2708 2844 3087 3318 3871 4062 4116 4739 4977 6093 6174 6636 7742 8124 9478 9954 11613 12186 12348 14217 15484 18956 19908 23226 24372 27097 28434 33173 34839 42651 46452 53483 54194 56868 66346 69678 81291 85302 99519 106966 108388 132692 139356 160449 162582 170604 199038 213932 232211 243873 298557 320898 325164 374381 398076 464422 481347 487746 597114 641796 696633 748762 928844 962694 975492 1123143 1194228 1393266 1497524 1925388 2089899 2246286 2620667 2786532 3369429 4179798 4492572 5241334 6738858 7862001 8359596 10482668 13477716 15724002 18344669 23586003 31448004 36689338 47172006 55034007 73378676 94344012 110068014 165102021 220136028 330204042 660408084