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1120001352 = 233476411549
BaseRepresentation
bin100001011000001…
…1101110101001000
32220001110222000120
41002300131311020
54243210020402
6303045303240
736516566031
oct10260356510
92801428016
101120001352
11525236658
12273104b20
1314b0648c2
14a8a67a88
15684d73bc
hex42c1dd48

1120001352 has 64 divisors (see below), whose sum is σ = 2865888000. Its totient is φ = 364584960.

The previous prime is 1120001347. The next prime is 1120001369. The reversal of 1120001352 is 2531000211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 722274 + ... + 723822.

It is an arithmetic number, because the mean of its divisors is an integer number (44779500).

Almost surely, 21120001352 is an apocalyptic number.

1120001352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120001352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432944000).

1120001352 is an abundant number, since it is smaller than the sum of its proper divisors (1745886648).

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

1120001352 is a wasteful number, since it uses less digits than its factorization.

1120001352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1120001352 is about 33466.4212607204. The cubic root of 1120001352 is about 1038.4992382422.

Adding to 1120001352 its reverse (2531000211), we get a palindrome (3651001563).

The spelling of 1120001352 in words is "one billion, one hundred twenty million, one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 641 1128 1282 1549 1923 2564 3098 3846 4647 5128 6196 7692 9294 12392 15384 18588 30127 37176 60254 72803 90381 120508 145606 180762 218409 241016 291212 361524 436818 582424 723048 873636 992909 1747272 1985818 2978727 3971636 5957454 7943272 11914908 23829816 46666723 93333446 140000169 186666892 280000338 373333784 560000676 1120001352