Search a number
-
+
1094536704 = 29317167251
BaseRepresentation
bin100000100111101…
…0100111000000000
32211021120020002110
41001033110320000
54220200133304
6300335415320
736060260052
oct10117247000
92737506073
101094536704
11511923698
12266684540
131459ba071
14a55198d2
1566157289
hex413d4e00

1094536704 has 160 divisors (see below), whose sum is σ = 3118300416. Its totient is φ = 339968000.

The previous prime is 1094536693. The next prime is 1094536711. The reversal of 1094536704 is 4076354901.

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 15 ways as a sum of consecutive naturals, for example, 4360579 + ... + 4360829.

Almost surely, 21094536704 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 1094536704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559150208).

1094536704 is an abundant number, since it is smaller than the sum of its proper divisors (2023763712).

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

1094536704 is a wasteful number, since it uses less digits than its factorization.

1094536704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 1094536704 is about 33083.7830968588. The cubic root of 1094536704 is about 1030.5682929210.

The spelling of 1094536704 in words is "one billion, ninety-four million, five hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 167 192 204 251 256 272 334 384 408 501 502 512 544 668 753 768 816 1002 1004 1088 1336 1506 1536 1632 2004 2008 2176 2672 2839 3012 3264 4008 4016 4267 4352 5344 5678 6024 6528 8016 8032 8517 8534 8704 10688 11356 12048 12801 13056 16032 16064 17034 17068 21376 22712 24096 25602 26112 32064 32128 34068 34136 41917 42752 45424 48192 51204 64128 64256 68136 68272 83834 85504 90848 96384 102408 125751 128256 128512 136272 136544 167668 181696 192768 204816 251502 256512 272544 273088 335336 363392 385536 409632 503004 545088 546176 670672 712589 726784 819264 1006008 1090176 1092352 1341344 1425178 1453568 1638528 2012016 2137767 2180352 2184704 2682688 2850356 3277056 4024032 4275534 4360704 5365376 5700712 6554112 8048064 8551068 10730752 11401424 16096128 17102136 21461504 22802848 32192256 34204272 45605696 64384512 68408544 91211392 136817088 182422784 273634176 364845568 547268352 1094536704