Search a number
-
+
3996554580 = 223458329723
BaseRepresentation
bin1110111000110110…
…1001010101010100
3101022112020000020000
43232031221111110
531141104221310
61500324011300
7201016103424
oct35615512524
911275200200
103996554580
111770a50677
12936530b30
134b8cb63c5
1429cad8484
15185ce44c0
hexee369554

3996554580 has 120 divisors (see below), whose sum is σ = 12688818912. Its totient is φ = 1052872128.

The previous prime is 3996554561. The next prime is 3996554647. The reversal of 3996554580 is 854556993.

It is a happy number.

3996554580 is a `hidden beast` number, since 3 + 9 + 9 + 6 + 5 + 54 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119599 + ... + 149321.

Almost surely, 23996554580 is an apocalyptic number.

3996554580 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3996554580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6344409456).

3996554580 is an abundant number, since it is smaller than the sum of its proper divisors (8692264332).

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

3996554580 is a wasteful number, since it uses less digits than its factorization.

3996554580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29827 (or 29816 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The square root of 3996554580 is about 63218.3088986094. The cubic root of 3996554580 is about 1586.9451491007.

The spelling of 3996554580 in words is "three billion, nine hundred ninety-six million, five hundred fifty-four thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 83 90 108 135 162 166 180 249 270 324 332 405 415 498 540 747 810 830 996 1245 1494 1620 1660 2241 2490 2988 3735 4482 4980 6723 7470 8964 11205 13446 14940 22410 26892 29723 33615 44820 59446 67230 89169 118892 134460 148615 178338 267507 297230 356676 445845 535014 594460 802521 891690 1070028 1337535 1605042 1783380 2407563 2467009 2675070 3210084 4012605 4815126 4934018 5350140 7401027 8025210 9630252 9868036 12037815 12335045 14802054 16050420 22203081 24075630 24670090 29604108 37005135 44406162 48151260 49340180 66609243 74010270 88812324 111015405 133218486 148020540 199827729 222030810 266436972 333046215 399655458 444061620 666092430 799310916 999138645 1332184860 1998277290 3996554580