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1251253540 = 22562562677
BaseRepresentation
bin100101010010100…
…1001110100100100
310020012110021011201
41022211021310210
510030310103130
6324054412244
743002323335
oct11245116444
93205407151
101251253540
11592333339
122ab061084
1316c2cb314
14bc27228c
1574cb1bca
hex4a949d24

1251253540 has 12 divisors (see below), whose sum is σ = 2627632476. Its totient is φ = 500501408.

The previous prime is 1251253529. The next prime is 1251253541. The reversal of 1251253540 is 453521521.

It can be written as a sum of positive squares in 2 ways, for example, as 215443684 + 1035809856 = 14678^2 + 32184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1251253499 and 1251253508.

It is not an unprimeable number, because it can be changed into a prime (1251253541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31281319 + ... + 31281358.

It is an arithmetic number, because the mean of its divisors is an integer number (218969373).

Almost surely, 21251253540 is an apocalyptic number.

1251253540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1251253540 is an abundant number, since it is smaller than the sum of its proper divisors (1376378936).

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

1251253540 is a wasteful number, since it uses less digits than its factorization.

1251253540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62562686 (or 62562684 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 1251253540 is about 35373.0623497599. The cubic root of 1251253540 is about 1077.5773140548.

The spelling of 1251253540 in words is "one billion, two hundred fifty-one million, two hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 62562677 125125354 250250708 312813385 625626770 1251253540