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1052338640 = 245103127711
BaseRepresentation
bin111110101110010…
…110100111010000
32201100011100020012
4332232112213100
54123344314030
6252231134052
735035505453
oct7656264720
92640140205
101052338640
114a0021661
12254514328
1313a033bb2
149da9349a
15625be095
hex3eb969d0

1052338640 has 40 divisors (see below), whose sum is σ = 2470460928. Its totient is φ = 416845440.

The previous prime is 1052338627. The next prime is 1052338663. The reversal of 1052338640 is 468332501.

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

It is a super-2 number, since 2×10523386402 = 2214833226474099200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052338597 and 1052338606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55616 + ... + 72095.

Almost surely, 21052338640 is an apocalyptic number.

1052338640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052338640 is an abundant number, since it is smaller than the sum of its proper divisors (1418122288).

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

1052338640 is a wasteful number, since it uses less digits than its factorization.

1052338640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127827 (or 127821 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 1052338640 is about 32439.7694196491. The cubic root of 1052338640 is about 1017.1503957425.

The spelling of 1052338640 in words is "one billion, fifty-two million, three hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1648 2060 4120 8240 127711 255422 510844 638555 1021688 1277110 2043376 2554220 5108440 10216880 13154233 26308466 52616932 65771165 105233864 131542330 210467728 263084660 526169320 1052338640