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1060148152 = 2371741157173
BaseRepresentation
bin111111001100001…
…001001110111000
32201212212002212101
4333030021032320
54132344220102
6253110353144
735162052640
oct7714111670
92655762771
101060148152
114a4475aa8
1225705b7b4
1313b8396cb
14a0b27520
1563112e87
hex3f3093b8

1060148152 has 128 divisors (see below), whose sum is σ = 2494074240. Its totient is φ = 412139520.

The previous prime is 1060148123. The next prime is 1060148183. The reversal of 1060148152 is 2518410601.

It is a super-2 number, since 2×10601481522 = 2247828208378030208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1060148152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6127938 + ... + 6128110.

It is an arithmetic number, because the mean of its divisors is an integer number (19484955).

Almost surely, 21060148152 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 1060148152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247037120).

1060148152 is an abundant number, since it is smaller than the sum of its proper divisors (1433926088).

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

1060148152 is a wasteful number, since it uses less digits than its factorization.

1060148152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 1060148152 is about 32559.9163389589. The cubic root of 1060148152 is about 1019.6603226241.

Adding to 1060148152 its reverse (2518410601), we get a palindrome (3578558753).

The spelling of 1060148152 in words is "one billion, sixty million, one hundred forty-eight thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 17 28 34 41 56 68 82 119 136 157 164 173 238 287 314 328 346 476 574 628 692 697 952 1099 1148 1211 1256 1384 1394 2198 2296 2422 2669 2788 2941 4396 4844 4879 5338 5576 5882 6437 7093 8792 9688 9758 10676 11764 12874 14186 18683 19516 20587 21352 23528 25748 27161 28372 37366 39032 41174 45059 49651 51496 54322 56744 74732 82348 90118 99302 108644 109429 120581 149464 164696 180236 190127 198604 217288 218858 241162 360472 380254 397208 437716 461737 482324 760508 766003 844067 875432 923474 964648 1113601 1521016 1532006 1688134 1846948 2227202 3064012 3232159 3376268 3693896 4454404 6128024 6464318 6752536 7795207 8908808 12928636 15590414 18931217 25857272 31180828 37862434 62361656 75724868 132518519 151449736 265037038 530074076 1060148152