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1040678064 = 243316314779
BaseRepresentation
bin111110000001110…
…111110010110000
32200112012220221000
4332001313302300
54112403144224
6251133202000
734534421556
oct7601676260
92615186830
101040678064
11494487918
12250630300
131377b054a
149c2d9bd6
15615690c9
hex3e077cb0

1040678064 has 80 divisors (see below), whose sum is σ = 3005660800. Its totient is φ = 344741184.

The previous prime is 1040678057. The next prime is 1040678077. The reversal of 1040678064 is 4608760401.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 63027 + ... + 77805.

It is an arithmetic number, because the mean of its divisors is an integer number (37570760).

Almost surely, 21040678064 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 1040678064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502830400).

1040678064 is an abundant number, since it is smaller than the sum of its proper divisors (1964982736).

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

1040678064 is a wasteful number, since it uses less digits than its factorization.

1040678064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14959 (or 14947 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1040678064 is about 32259.5422162188. The cubic root of 1040678064 is about 1013.3795440992.

The spelling of 1040678064 in words is "one billion, forty million, six hundred seventy-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 163 216 326 432 489 652 978 1304 1467 1956 2608 2934 3912 4401 5868 7824 8802 11736 14779 17604 23472 29558 35208 44337 59116 70416 88674 118232 133011 177348 236464 266022 354696 399033 532044 709392 798066 1064088 1596132 2128176 2408977 3192264 4817954 6384528 7226931 9635908 14453862 19271816 21680793 28907724 38543632 43361586 57815448 65042379 86723172 115630896 130084758 173446344 260169516 346892688 520339032 1040678064