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1100078064 = 243312720051
BaseRepresentation
bin100000110010001…
…1101101111110000
32211122222202102000
41001210131233300
54223104444224
6301054254000
736155336451
oct10144355760
92748882360
101100078064
11514a68a28
122684b7300
13146baa387
14a615d128
156689e0c9
hex4191dbf0

1100078064 has 80 divisors (see below), whose sum is σ = 3182653440. Its totient is φ = 363787200.

The previous prime is 1100078051. The next prime is 1100078071. The reversal of 1100078064 is 4608700011.

It is a happy number.

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

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, 44839 + ... + 64889.

It is an arithmetic number, because the mean of its divisors is an integer number (39783168).

Almost surely, 21100078064 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 1100078064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591326720).

1100078064 is an abundant number, since it is smaller than the sum of its proper divisors (2082575376).

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

1100078064 is a wasteful number, since it uses less digits than its factorization.

1100078064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20195 (or 20183 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1100078064 is about 33167.4247417553. The cubic root of 1100078064 is about 1032.3045342469.

Adding to 1100078064 its reverse (4608700011), we get a palindrome (5708778075).

The spelling of 1100078064 in words is "one billion, one hundred million, seventy-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 254 381 432 508 762 1016 1143 1524 2032 2286 3048 3429 4572 6096 6858 9144 13716 18288 20051 27432 40102 54864 60153 80204 120306 160408 180459 240612 320816 360918 481224 541377 721836 962448 1082754 1443672 2165508 2546477 2887344 4331016 5092954 7639431 8662032 10185908 15278862 20371816 22918293 30557724 40743632 45836586 61115448 68754879 91673172 122230896 137509758 183346344 275019516 366692688 550039032 1100078064