Search a number
-
+
78007104 = 263376449
BaseRepresentation
bin1001010011001…
…00101101000000
312102210011122000
410221210231000
5124432211404
611423544000
71635022650
oct451445500
9172704560
1078007104
114003a98a
122215b000
1313213266
14a508360
156cad339
hex4a64b40

78007104 has 112 divisors (see below), whose sum is σ = 262128000. Its totient is φ = 22284288.

The previous prime is 78007091. The next prime is 78007147. The reversal of 78007104 is 40170087.

It is a tau number, because it is divible by the number of its divisors (112).

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, 8872 + ... + 15320.

Almost surely, 278007104 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 78007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131064000).

78007104 is an abundant number, since it is smaller than the sum of its proper divisors (184120896).

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

78007104 is a wasteful number, since it uses less digits than its factorization.

78007104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6477 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 78007104 is about 8832.1630419734. The cubic root of 78007104 is about 427.2788391296.

The spelling of 78007104 in words is "seventy-eight million, seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 6449 12096 12898 19347 25796 38694 45143 51592 58041 77388 90286 103184 116082 135429 154776 174123 180572 206368 232164 270858 309552 348246 361144 406287 412736 464328 541716 619104 696492 722288 812574 928656 1083432 1218861 1238208 1392984 1444576 1625148 1857312 2166864 2437722 2785968 2889152 3250296 3714624 4333728 4875444 5571936 6500592 8667456 9750888 11143872 13001184 19501776 26002368 39003552 78007104