Search a number
-
+
2940133716 = 2232136282337
BaseRepresentation
bin1010111100111110…
…1110000101010100
321120220101021020100
42233033232011110
522010133234331
61203425134100
7132600503262
oct25717560524
97526337210
102940133716
1112796a0a83
126a078a330
1337b1833c0
141dc6a1432
151231baae6
hexaf3ee154

2940133716 has 36 divisors (see below), whose sum is σ = 8003698612. Its totient is φ = 904656384.

The previous prime is 2940133687. The next prime is 2940133717. The reversal of 2940133716 is 6173310492.

It can be written as a sum of positive squares in 2 ways, for example, as 1913187600 + 1026946116 = 43740^2 + 32046^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (2940133717) 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, 3140701 + ... + 3141636.

Almost surely, 22940133716 is an apocalyptic number.

2940133716 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2940133716 is an abundant number, since it is smaller than the sum of its proper divisors (5063564896).

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

2940133716 is a wasteful number, since it uses less digits than its factorization.

2940133716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6282360 (or 6282355 counting only the distinct ones).

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

The square root of 2940133716 is about 54222.9998801247. Note that the first 3 decimals coincide. The cubic root of 2940133716 is about 1432.5914695391.

The spelling of 2940133716 in words is "two billion, nine hundred forty million, one hundred thirty-three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 6282337 12564674 18847011 25129348 37694022 56541033 75388044 81670381 113082066 163340762 226164132 245011143 326681524 490022286 735033429 980044572 1470066858 2940133716