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1055565630 = 2325710316267
BaseRepresentation
bin111110111010101…
…010011100111110
32201120020021211100
4332322222130332
54130211100010
6252424233530
735105105550
oct7672523476
92646207740
101055565630
114a1926099
1225560b8a6
1313a8c3962
14a02934d0
1562a0a2c0
hex3eeaa73e

1055565630 has 96 divisors (see below), whose sum is σ = 3167184384. Its totient is φ = 238915008.

The previous prime is 1055565629. The next prime is 1055565631. The reversal of 1055565630 is 365655501.

1055565630 is a `hidden beast` number, since 10 + 5 + 5 + 5 + 6 + 5 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (1055565629) and next prime (1055565631).

It is a super-2 number, since 2×10555656302 = 2228437598474593800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055565631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56757 + ... + 73023.

It is an arithmetic number, because the mean of its divisors is an integer number (32991504).

Almost surely, 21055565630 is an apocalyptic number.

1055565630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055565630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583592192).

1055565630 is an abundant number, since it is smaller than the sum of its proper divisors (2111618754).

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

1055565630 is a wasteful number, since it uses less digits than its factorization.

1055565630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16390 (or 16387 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The square root of 1055565630 is about 32489.4695247552. The cubic root of 1055565630 is about 1018.1890299645.

The spelling of 1055565630 in words is "one billion, fifty-five million, five hundred sixty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 103 105 126 206 210 309 315 515 618 630 721 927 1030 1442 1545 1854 2163 3090 3605 4326 4635 6489 7210 9270 10815 12978 16267 21630 32445 32534 48801 64890 81335 97602 113869 146403 162670 227738 244005 292806 341607 488010 569345 683214 732015 1024821 1138690 1464030 1675501 1708035 2049642 3351002 3416070 5026503 5124105 8377505 10053006 10248210 11728507 15079509 16755010 23457014 25132515 30159018 35185521 50265030 58642535 70371042 75397545 105556563 117285070 150795090 175927605 211113126 351855210 527782815 1055565630