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2631487140 = 2232514619373
BaseRepresentation
bin1001110011011001…
…0100111010100100
320210101121101201200
42130312110322210
520342130042030
61113041522500
7122132162112
oct23466247244
96711541650
102631487140
111130451267
12615343430
1332c248aa9
141ad6baab2
1510604ed60
hex9cd94ea4

2631487140 has 36 divisors (see below), whose sum is σ = 7982178204. Its totient is φ = 701729856.

The previous prime is 2631487139. The next prime is 2631487141. The reversal of 2631487140 is 417841362.

2631487140 is a `hidden beast` number, since 2 + 6 + 31 + 487 + 140 = 666.

2631487140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2631487139) and next prime (2631487141).

It can be written as a sum of positive squares in 2 ways, for example, as 997549056 + 1633938084 = 31584^2 + 40422^2 .

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 junction number, because it is equal to n+sod(n) for n = 2631487095 and 2631487104.

It is not an unprimeable number, because it can be changed into a prime (2631487141) 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, 7309507 + ... + 7309866.

Almost surely, 22631487140 is an apocalyptic number.

2631487140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2631487140 is an abundant number, since it is smaller than the sum of its proper divisors (5350691064).

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

2631487140 is a wasteful number, since it uses less digits than its factorization.

2631487140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14619388 (or 14619383 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2631487140 is about 51298.0227689138. The cubic root of 2631487140 is about 1380.5975043337.

The spelling of 2631487140 in words is "two billion, six hundred thirty-one million, four hundred eighty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 14619373 29238746 43858119 58477492 73096865 87716238 131574357 146193730 175432476 219290595 263148714 292387460 438581190 526297428 657871785 877162380 1315743570 2631487140