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1200013304 = 237372692153
BaseRepresentation
bin100011110000110…
…1011111111111000
310002122000222210012
41013201223333320
54424200411204
6315024241052
741510642030
oct10741537770
93078028705
101200013304
11566415836
12295a70188
131617ca559
14b55348c0
157053e76e
hex4786bff8

1200013304 has 64 divisors (see below), whose sum is σ = 2652004800. Its totient is φ = 498299904.

The previous prime is 1200013273. The next prime is 1200013361. The reversal of 1200013304 is 4033100021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556292 + ... + 558444.

It is an arithmetic number, because the mean of its divisors is an integer number (41437575).

Almost surely, 21200013304 is an apocalyptic number.

1200013304 is a gapful number since it is divisible by the number (14) 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 1200013304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326002400).

1200013304 is an abundant number, since it is smaller than the sum of its proper divisors (1451991496).

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

1200013304 is a wasteful number, since it uses less digits than its factorization.

1200013304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1200013304 is about 34641.2081775448. The cubic root of 1200013304 is about 1062.6624962819.

Adding to 1200013304 its reverse (4033100021), we get a palindrome (5233113325).

The spelling of 1200013304 in words is "one billion, two hundred million, thirteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 269 296 518 538 1036 1076 1883 2072 2152 2153 3766 4306 7532 8612 9953 15064 15071 17224 19906 30142 39812 60284 69671 79624 79661 120568 139342 159322 278684 318644 557368 557627 579157 637288 1115254 1158314 2230508 2316628 4054099 4461016 4633256 8108198 16216396 21428809 32432792 42857618 85715236 150001663 171430472 300003326 600006652 1200013304