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1030769064 = 23351340787
BaseRepresentation
bin111101011100000…
…100100110101000
32122211120111100000
4331130010212220
54102334102224
6250140543000
734354251423
oct7534044650
92584514300
101030769064
1148992a066
12249251a60
13135721230
149ac7a9ba
156075d0c9
hex3d7049a8

1030769064 has 96 divisors (see below), whose sum is σ = 3117834720. Its totient is φ = 317151936.

The previous prime is 1030769063. The next prime is 1030769083. The reversal of 1030769064 is 4609670301.

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

It is not an unprimeable number, because it can be changed into a prime (1030769063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4879 + ... + 45665.

It is an arithmetic number, because the mean of its divisors is an integer number (32477445).

Almost surely, 21030769064 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 1030769064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558917360).

1030769064 is an abundant number, since it is smaller than the sum of its proper divisors (2087065656).

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

1030769064 is a wasteful number, since it uses less digits than its factorization.

1030769064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40821 (or 40805 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1030769064 is about 32105.5924100459. The cubic root of 1030769064 is about 1010.1529239413.

The spelling of 1030769064 in words is "one billion, thirty million, seven hundred sixty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2808 3159 4212 6318 8424 12636 25272 40787 81574 122361 163148 244722 326296 367083 489444 530231 734166 978888 1060462 1101249 1468332 1590693 2120924 2202498 2936664 3181386 3303747 4241848 4404996 4772079 6362772 6607494 8809992 9544158 9911241 12725544 13214988 14316237 19088316 19822482 26429976 28632474 38176632 39644964 42948711 57264948 79289928 85897422 114529896 128846133 171794844 257692266 343589688 515384532 1030769064