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1252128996 = 223373241659
BaseRepresentation
bin100101010100001…
…1111100011100100
310020021002202002000
41022220133203210
510031021111441
6324125245300
743012630566
oct11250374344
93207082060
101252128996
11592881058
122ab403830
1316c546941
14bc41d336
1574dd62b6
hex4aa1f8e4

1252128996 has 96 divisors (see below), whose sum is σ = 3309398400. Its totient is φ = 409328640.

The previous prime is 1252128991. The next prime is 1252129001. The reversal of 1252128996 is 6998212521.

It is a happy number.

1252128996 is a `hidden beast` number, since 12 + 521 + 28 + 9 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (1252128991) and next prime (1252129001).

It is not an unprimeable number, because it can be changed into a prime (1252128991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1899715 + ... + 1900373.

It is an arithmetic number, because the mean of its divisors is an integer number (34472900).

Almost surely, 21252128996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252128996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654699200).

1252128996 is an abundant number, since it is smaller than the sum of its proper divisors (2057269404).

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

1252128996 is a wasteful number, since it uses less digits than its factorization.

1252128996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 978 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 1252128996 is about 35385.4348002112. The cubic root of 1252128996 is about 1077.8285691805.

The spelling of 1252128996 in words is "one billion, two hundred fifty-two million, one hundred twenty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 241 292 438 482 657 659 723 876 964 1314 1318 1446 1971 1977 2169 2628 2636 2892 3942 3954 4338 5931 6507 7884 7908 8676 11862 13014 17593 17793 23724 26028 35186 35586 48107 52779 70372 71172 96214 105558 144321 158337 158819 192428 211116 288642 316674 317638 432963 475011 476457 577284 633348 635276 865926 950022 952914 1298889 1429371 1731852 1900044 1905828 2597778 2858742 4288113 5195556 5717484 8576226 11593787 17152452 23187574 34781361 46375148 69562722 104344083 139125444 208688166 313032249 417376332 626064498 1252128996