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1200661164 = 223327141023
BaseRepresentation
bin100011110010000…
…1010001010101100
310002200020220111000
41013210022022230
54424332124124
6315050200300
741516310603
oct10744121254
93080226430
101200661164
1156681855a
12296123090
131619963c1
14b5662a3a
157061b6c9
hex4790a2ac

1200661164 has 48 divisors (see below), whose sum is σ = 3124387840. Its totient is φ = 398733840.

The previous prime is 1200661141. The next prime is 1200661169. The reversal of 1200661164 is 4611660021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1200661169) by changing a digit.

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, 8757 + ... + 49779.

Almost surely, 21200661164 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 1200661164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562193920).

1200661164 is an abundant number, since it is smaller than the sum of its proper divisors (1923726676).

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

1200661164 is a wasteful number, since it uses less digits than its factorization.

1200661164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41307 (or 41299 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1200661164 is about 34650.5579175863. The cubic root of 1200661164 is about 1062.8536976810.

The spelling of 1200661164 in words is "one billion, two hundred million, six hundred sixty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 271 542 813 1084 1626 2439 3252 4878 7317 9756 14634 29268 41023 82046 123069 164092 246138 369207 492276 738414 1107621 1476828 2215242 4430484 11117233 22234466 33351699 44468932 66703398 100055097 133406796 200110194 300165291 400220388 600330582 1200661164