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1200130032 = 243313492311
BaseRepresentation
bin100011110001000…
…1000011111110000
310002122020220220110
41013202020133300
54424213130112
6315030541320
741511636243
oct10742103760
93078226813
101200130032
11566495502
12295b07840
1316183b71a
14b556525a
157056413c
hex478887f0

1200130032 has 80 divisors (see below), whose sum is σ = 3210905600. Its totient is φ = 385862400.

The previous prime is 1200130021. The next prime is 1200130049. The reversal of 1200130032 is 2300310021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518157 + ... + 520467.

It is an arithmetic number, because the mean of its divisors is an integer number (40136320).

Almost surely, 21200130032 is an apocalyptic number.

1200130032 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 1200130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605452800).

1200130032 is an abundant number, since it is smaller than the sum of its proper divisors (2010775568).

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

1200130032 is a wasteful number, since it uses less digits than its factorization.

1200130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1200130032 is about 34642.8929507915. The cubic root of 1200130032 is about 1062.6969510238.

Adding to 1200130032 its reverse (2300310021), we get a palindrome (3500440053).

The spelling of 1200130032 in words is "one billion, two hundred million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 349 372 496 698 744 1047 1396 1488 2094 2311 2792 4188 4622 5584 6933 8376 9244 10819 13866 16752 18488 21638 27732 32457 36976 43276 55464 64914 71641 86552 110928 129828 143282 173104 214923 259656 286564 429846 519312 573128 806539 859692 1146256 1613078 1719384 2419617 3226156 3438768 4839234 6452312 9678468 12904624 19356936 25002709 38713872 50005418 75008127 100010836 150016254 200021672 300032508 400043344 600065016 1200130032