Search a number
-
+
3135199280 = 245293733623
BaseRepresentation
bin1011101011011111…
…0101100000110000
322002111102121212212
42322313311200300
522410102334110
61235034111252
7140456516453
oct27267654060
98074377785
103135199280
111369813694
12735b7b528
133ac700705
1421a55b49a
1513539ce05
hexbadf5830

3135199280 has 80 divisors (see below), whose sum is σ = 7562998080. Its totient is φ = 1207256064.

The previous prime is 3135199219. The next prime is 3135199307. The reversal of 3135199280 is 829915313.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 863549 + ... + 867171.

It is an arithmetic number, because the mean of its divisors is an integer number (94537476).

Almost surely, 23135199280 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 3135199280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781499040).

3135199280 is an abundant number, since it is smaller than the sum of its proper divisors (4427798800).

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

3135199280 is a wasteful number, since it uses less digits than its factorization.

3135199280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 3135199280 is about 55992.8502578677. The cubic root of 3135199280 is about 1463.5976952046.

The spelling of 3135199280 in words is "three billion, one hundred thirty-five million, one hundred ninety-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 373 464 580 746 1160 1492 1865 2320 2984 3623 3730 5968 7246 7460 10817 14492 14920 18115 21634 28984 29840 36230 43268 54085 57968 72460 86536 105067 108170 144920 173072 210134 216340 289840 420268 432680 525335 840536 865360 1050670 1351379 1681072 2101340 2702758 4202680 5405516 6756895 8405360 10811032 13513790 21622064 27027580 39189991 54055160 78379982 108110320 156759964 195949955 313519928 391899910 627039856 783799820 1567599640 3135199280