Search a number
-
+
3730800096 = 253287714771
BaseRepresentation
bin1101111001011111…
…0111110111100000
3100122000011021121100
43132113313313200
530120041100341
61414111554400
7161311164132
oct33627676740
910560137540
103730800096
111644a37371
1288152ba00
13475c18b2a
142756bb052
1516c7ec3b6
hexde5f7de0

3730800096 has 72 divisors (see below), whose sum is σ = 10622279304. Its totient is φ = 1242097920.

The previous prime is 3730800089. The next prime is 3730800097. The reversal of 3730800096 is 6900080373.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3730800096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3730800097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245191 + ... + 259961.

It is an arithmetic number, because the mean of its divisors is an integer number (147531657).

Almost surely, 23730800096 is an apocalyptic number.

3730800096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3730800096 is an abundant number, since it is smaller than the sum of its proper divisors (6891479208).

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

3730800096 is a wasteful number, since it uses less digits than its factorization.

3730800096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15664 (or 15653 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3730800096 is about 61080.2758343477. The cubic root of 3730800096 is about 1550.9602230569.

The spelling of 3730800096 in words is "three billion, seven hundred thirty million, eight hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 877 1754 2631 3508 5262 7016 7893 10524 14032 14771 15786 21048 28064 29542 31572 42096 44313 59084 63144 84192 88626 118168 126288 132939 177252 236336 252576 265878 354504 472672 531756 709008 1063512 1418016 2127024 4254048 12954167 25908334 38862501 51816668 77725002 103633336 116587503 155450004 207266672 233175006 310900008 414533344 466350012 621800016 932700024 1243600032 1865400048 3730800096