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1210328064 = 210321111939
BaseRepresentation
bin100100000100100…
…0010010000000000
310010100110000222100
41020021002100000
54434320444224
6320033310400
741664422151
oct11011022000
93110400870
101210328064
11571220430
12299405400
1316399c46a
14b6a5b928
15713caac9
hex48242400

1210328064 has 132 divisors (see below), whose sum is σ = 3812824080. Its totient is φ = 366735360.

The previous prime is 1210328059. The next prime is 1210328069. The reversal of 1210328064 is 4608230121.

It is an interprime number because it is at equal distance from previous prime (1210328059) and next prime (1210328069).

It is a tau number, because it is divible by the number of its divisors (132).

It is not an unprimeable number, because it can be changed into a prime (1210328069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95407 + ... + 107345.

Almost surely, 21210328064 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 1210328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906412040).

1210328064 is an abundant number, since it is smaller than the sum of its proper divisors (2602496016).

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

1210328064 is a wasteful number, since it uses less digits than its factorization.

1210328064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11976 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1210328064 is about 34789.7695307112. The cubic root of 1210328064 is about 1065.6985326737.

Adding to 1210328064 its reverse (4608230121), we get a palindrome (5818558185).

The spelling of 1210328064 in words is "one billion, two hundred ten million, three hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2304 2816 3072 3168 4224 4608 5632 6336 8448 9216 11264 11939 12672 16896 23878 25344 33792 35817 47756 50688 71634 95512 101376 107451 131329 143268 191024 214902 262658 286536 382048 393987 429804 525316 573072 764096 787974 859608 1050632 1146144 1181961 1528192 1575948 1719216 2101264 2292288 2363922 3056384 3151896 3438432 4202528 4584576 4727844 6112768 6303792 6876864 8405056 9169152 9455688 12225536 12607584 13753728 16810112 18338304 18911376 25215168 27507456 33620224 36676608 37822752 50430336 55014912 67240448 75645504 100860672 110029824 134480896 151291008 201721344 302582016 403442688 605164032 1210328064