Search a number
-
+
2696016240 = 243253744467
BaseRepresentation
bin1010000010110001…
…1111000101110000
320221220000211000100
42200230133011300
521010140004430
61123304552400
7123544521441
oct24054370560
96856024010
102696016240
1111639159a5
12632a82700
1333c7203a8
141b80b72c8
1510ba49960
hexa0b1f170

2696016240 has 60 divisors (see below), whose sum is σ = 9054123624. Its totient is φ = 718937472.

The previous prime is 2696016187. The next prime is 2696016241. The reversal of 2696016240 is 426106962.

2696016240 is a `hidden beast` number, since 2 + 6 + 9 + 601 + 6 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 2696016195 and 2696016204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2696016241) 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, 1871514 + ... + 1872953.

Almost surely, 22696016240 is an apocalyptic number.

2696016240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2696016240 is an abundant number, since it is smaller than the sum of its proper divisors (6358107384).

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

2696016240 is a wasteful number, since it uses less digits than its factorization.

2696016240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744486 (or 3744477 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2696016240 is about 51923.1763281100. The cubic root of 2696016240 is about 1391.7914620221.

The spelling of 2696016240 in words is "two billion, six hundred ninety-six million, sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3744467 7488934 11233401 14977868 18722335 22466802 29955736 33700203 37444670 44933604 56167005 59911472 67400406 74889340 89867208 112334010 134800812 149778680 168501015 179734416 224668020 269601624 299557360 337002030 449336040 539203248 674004060 898672080 1348008120 2696016240