Search a number
-
+
78871440 = 24353110601
BaseRepresentation
bin1001011001101…
…11101110010000
312111102002021110
410230313232100
5130142341230
611454253320
71645252614
oct454675620
9174362243
1078871440
114058030a
12224b7240
13134567bb
14a691344
156dce4b0
hex4b37b90

78871440 has 80 divisors (see below), whose sum is σ = 252412416. Its totient is φ = 20352000.

The previous prime is 78871433. The next prime is 78871459. The reversal of 78871440 is 4417887.

It is a tau number, because it is divible by the number of its divisors (80).

It is a plaindrome in base 13.

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, 2140 + ... + 12740.

Almost surely, 278871440 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 78871440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126206208).

78871440 is an abundant number, since it is smaller than the sum of its proper divisors (173540976).

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

78871440 is a wasteful number, since it uses less digits than its factorization.

78871440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10648 (or 10642 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 78871440 is about 8880.9594076316. The cubic root of 78871440 is about 428.8511608686.

The spelling of 78871440 in words is "seventy-eight million, eight hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 10601 21202 31803 42404 53005 63606 84808 106010 127212 159015 169616 212020 254424 318030 328631 424040 508848 636060 657262 848080 985893 1272120 1314524 1643155 1971786 2544240 2629048 3286310 3943572 4929465 5258096 6572620 7887144 9858930 13145240 15774288 19717860 26290480 39435720 78871440