Search a number
-
+
2730671712 = 253249919001
BaseRepresentation
bin1010001011000010…
…1011111001100000
321001022020111101100
42202300223321200
521043022443322
61130543434400
7124445220006
oct24260537140
97038214340
102730671712
11118143608a
126425b5a00
133469653a2
141bc938a76
1510eae2dac
hexa2c2be60

2730671712 has 72 divisors (see below), whose sum is σ = 7781319000. Its totient is φ = 908352000.

The previous prime is 2730671707. The next prime is 2730671717. The reversal of 2730671712 is 2171760372.

It is an interprime number because it is at equal distance from previous prime (2730671707) and next prime (2730671717).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730671717) 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, 134212 + ... + 153212.

It is an arithmetic number, because the mean of its divisors is an integer number (108073875).

Almost surely, 22730671712 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 2730671712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890659500).

2730671712 is an abundant number, since it is smaller than the sum of its proper divisors (5050647288).

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

2730671712 is a wasteful number, since it uses less digits than its factorization.

2730671712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19516 (or 19505 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 2730671712 is about 52255.8294547125. The cubic root of 2730671712 is about 1397.7296044183.

The spelling of 2730671712 in words is "two billion, seven hundred thirty million, six hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 499 998 1497 1996 2994 3992 4491 5988 7984 8982 11976 15968 17964 19001 23952 35928 38002 47904 57003 71856 76004 114006 143712 152008 171009 228012 304016 342018 456024 608032 684036 912048 1368072 1824096 2736144 5472288 9481499 18962998 28444497 37925996 56888994 75851992 85333491 113777988 151703984 170666982 227555976 303407968 341333964 455111952 682667928 910223904 1365335856 2730671712