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1240514320 = 245101153529
BaseRepresentation
bin100100111110000…
…1011111100010000
310012110020122201211
41021330023330100
510020032424240
6323032305504
742512124553
oct11174137420
93173218654
101240514320
11587268851
122a7542294
1316a00b156
14baa7869a
1573d8ebea
hex49f0bf10

1240514320 has 40 divisors (see below), whose sum is σ = 2912771160. Its totient is φ = 491289600.

The previous prime is 1240514309. The next prime is 1240514329. The reversal of 1240514320 is 234150421.

It can be written as a sum of positive squares in 4 ways, for example, as 510217744 + 730296576 = 22588^2 + 27024^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1240514291 and 1240514300.

It is not an unprimeable number, because it can be changed into a prime (1240514329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68685 + ... + 84844.

It is an arithmetic number, because the mean of its divisors is an integer number (72819279).

Almost surely, 21240514320 is an apocalyptic number.

1240514320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1240514320 is an abundant number, since it is smaller than the sum of its proper divisors (1672256840).

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

1240514320 is a wasteful number, since it uses less digits than its factorization.

1240514320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153643 (or 153637 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1240514320 is about 35220.9358194810. The cubic root of 1240514320 is about 1074.4855862215.

Adding to 1240514320 its reverse (234150421), we get a palindrome (1474664741).

The spelling of 1240514320 in words is "one billion, two hundred forty million, five hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 153529 307058 614116 767645 1228232 1535290 2456464 3070580 6141160 12282320 15506429 31012858 62025716 77532145 124051432 155064290 248102864 310128580 620257160 1240514320