Search a number
-
+
1076403864 = 2332343101449
BaseRepresentation
bin100000000101000…
…1001111010011000
32210000102222111210
41000022021322120
54201024410424
6254451023120
735450165454
oct10012117230
92700388453
101076403864
11502669178
1226059aaa0
1314200b783
14a2d59664
1564774729
hex40289e98

1076403864 has 128 divisors (see below), whose sum is σ = 2908224000. Its totient is φ = 331161600.

The previous prime is 1076403857. The next prime is 1076403901. The reversal of 1076403864 is 4683046701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2397112 + ... + 2397560.

It is an arithmetic number, because the mean of its divisors is an integer number (22720500).

Almost surely, 21076403864 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 1076403864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454112000).

1076403864 is an abundant number, since it is smaller than the sum of its proper divisors (1831820136).

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

1076403864 is a wasteful number, since it uses less digits than its factorization.

1076403864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 1076403864 is about 32808.5943618437. The cubic root of 1076403864 is about 1024.8455413498.

The spelling of 1076403864 in words is "one billion, seventy-six million, four hundred three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 43 46 69 86 92 101 129 138 172 184 202 258 276 303 344 404 449 516 552 606 808 898 989 1032 1212 1347 1796 1978 2323 2424 2694 2967 3592 3956 4343 4646 5388 5934 6969 7912 8686 9292 10327 10776 11868 13029 13938 17372 18584 19307 20654 23736 26058 27876 30981 34744 38614 41308 45349 52116 55752 57921 61962 77228 82616 90698 99889 104232 115842 123924 136047 154456 181396 199778 231684 247848 272094 299667 362792 399556 444061 463368 544188 599334 799112 888122 1043027 1088376 1198668 1332183 1776244 1950007 2086054 2397336 2664366 3129081 3552488 3900014 4172108 5328732 5850021 6258162 7800028 8344216 10657464 11700042 12516324 15600056 23400084 25032648 44850161 46800168 89700322 134550483 179400644 269100966 358801288 538201932 1076403864