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1352000010 = 235292411307
BaseRepresentation
bin101000010010101…
…1110001000001010
310111020000201100110
41100211132020022
510232103000020
6342054015150
745334544664
oct12045361012
93436021313
101352000010
11634194689
123189474b6
1318714380a
14cb7b9534
157da628e0
hex5095e20a

1352000010 has 96 divisors (see below), whose sum is σ = 3445146432. Its totient is φ = 339351040.

The previous prime is 1351999997. The next prime is 1352000011. The reversal of 1352000010 is 100002531.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1352000010.

It is not an unprimeable number, because it can be changed into a prime (1352000011) 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, 1033777 + ... + 1035083.

It is an arithmetic number, because the mean of its divisors is an integer number (35886942).

Almost surely, 21352000010 is an apocalyptic number.

1352000010 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 1352000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722573216).

1352000010 is an abundant number, since it is smaller than the sum of its proper divisors (2093146422).

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

1352000010 is a wasteful number, since it uses less digits than its factorization.

1352000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1352000010 is about 36769.5527576825. The cubic root of 1352000010 is about 1105.7549654620.

Adding to 1352000010 its reverse (100002531), we get a palindrome (1452002541).

The spelling of 1352000010 in words is "one billion, three hundred fifty-two million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 29 30 41 58 82 87 123 145 174 205 246 290 410 435 615 841 870 1189 1230 1307 1682 2378 2523 2614 3567 3921 4205 5046 5945 6535 7134 7842 8410 11890 12615 13070 17835 19605 25230 34481 35670 37903 39210 53587 68962 75806 103443 107174 113709 160761 172405 189515 206886 227418 267935 321522 344810 379030 517215 535870 568545 803805 1034430 1099187 1137090 1554023 1607610 2198374 3108046 3297561 4662069 5495935 6595122 7770115 9324138 10991870 15540230 16487805 23310345 32975610 45066667 46620690 90133334 135200001 225333335 270400002 450666670 676000005 1352000010