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1070465564 = 227243157809
BaseRepresentation
bin111111110011100…
…000001000011100
32202121021021200202
4333303200020130
54143014344224
6254115443032
735345543600
oct7763401034
92677237622
101070465564
114aa282693
1225a5b6478
13140a0c89c
14a2251500
1563e9eeae
hex3fce021c

1070465564 has 72 divisors (see below), whose sum is σ = 2246816880. Its totient is φ = 444697344.

The previous prime is 1070465551. The next prime is 1070465579. The reversal of 1070465564 is 4655640701.

1070465564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10704655642 = 2291793047419676192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1322792 + ... + 1323600.

It is an arithmetic number, because the mean of its divisors is an integer number (31205790).

Almost surely, 21070465564 is an apocalyptic number.

1070465564 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 1070465564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123408440).

1070465564 is an abundant number, since it is smaller than the sum of its proper divisors (1176351316).

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

1070465564 is a wasteful number, since it uses less digits than its factorization.

1070465564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 1070465564 is about 32717.9700470552. The cubic root of 1070465564 is about 1022.9574439065.

The spelling of 1070465564 in words is "one billion, seventy million, four hundred sixty-five thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 43 49 86 98 157 172 196 301 314 602 628 809 1099 1204 1618 2107 2198 3236 4214 4396 5663 6751 7693 8428 11326 13502 15386 22652 27004 30772 34787 39641 47257 69574 79282 94514 127013 139148 158564 189028 243509 254026 330799 487018 508052 661598 889091 974036 1323196 1704563 1778182 3409126 3556364 5461559 6223637 6818252 10923118 12447274 21846236 24894548 38230913 76461826 152923652 267616391 535232782 1070465564